Introduction to algebraic inequalities math:
The algebraic inequalities in math are to replace the in-equal symbol with an equal symbol and then solve the resultant equations. The result for the algebraic equations allows establishing the given interval for the inequality. Select any one of the number from each interval and to check for their originality. If the number from that interval is true and then that interval is the resultant interval is the solution for the inequality. The example for the algebraic inequalities in math is x+19> 0.
Examples for Algebraic Inequalities Math:
Example 1 for algebraic inequalities math:
Solve the algebraic inequalities equation 17x > 85.
Solution:
The given algebraic inequalities equation is 17x > 85.
The given equation is the in- equal equation. So convert the in- equal symbol into the equal symbol to obtain the value for the equations. Replace the in- equal symbol for the equal symbol to obtain the values for the given equation.
17x =85
In the above equation divide 17 from the equation in both sides to get the values.
`(17x)/17` =`85/17`
x =`85/17`
Alter the equalities symbol into the inequalities form.
The value of x after the inequality change is x > `85/17` .
The value for the algebraic inequalities equation 17x > 85 is x> `85/17` .
Example 2 for algebraic inequalities math:
Determine the value of y for the algebraic inequalities equation 10y+180 <0 br="br">
Solution:
The given algebraic inequality equation is 10y+180 <0 .="." br="br">
The given equation is the in- equal equation. So convert the in- equal symbol into the equal symbol to obtain the value for the equations. Replace the in- equal symbol for the equal symbol to obtain the values for the given equation.
10y+180=0
In the above equation subtract 180 from the equation in both sides to get the values.
10y+180 -180 =0-180
10y=-180
Divide by 10on both sides of the above equation.
`(10y)/10` =-`180/10`
y=-18
Alter the equalities symbol into the inequalities form.
The value of y after the inequality change is y<-18 .="." br="br">
The value for the algebraic inequalities equation 10y+180 <0 -18.="-18." br="br" is="is" y="y">
Example 3 for algebraic inequalities math:
Evaluate the algebraic inequality equation 12z+180 <0 .="." br="br">
Solution:
The given algebraic inequality equation is 12z +180<0 .="." br="br">
The given equation is the in- equal equation. So convert the in- equal symbol into the equal symbol to obtain the value for the equations. Replace the in- equal symbol for the equal symbol to obtain the values for the given equation.
12z+180 =0
In the above equation subtract 180 from the equation in both sides to get the values.
12z+180- 180 =0 -180
12z = -180
In the above equation divide 12 on both sides of the equation in both sides to get the values.
`(12z)/12` = -`180/12`
z = -15
Alter the equalities symbol into the inequalities form.
The value of z after the inequality change is z<-15 .="." br="br">
The value for the algebraic inequalities equation 12z +180<0 -15.="-15." br="br" is="is" z="z">
Practice Problem for Algebraic Inequalities Math:
Find the value for the inequalities equation 39z+39 <0 .="." br="br">Answer: z< -1.
Evaluate the value for the algebraic inequalities equation 93 x+ 13>0.
Answer: x> `13/93` .
The algebraic inequalities in math are to replace the in-equal symbol with an equal symbol and then solve the resultant equations. The result for the algebraic equations allows establishing the given interval for the inequality. Select any one of the number from each interval and to check for their originality. If the number from that interval is true and then that interval is the resultant interval is the solution for the inequality. The example for the algebraic inequalities in math is x+19> 0.
Examples for Algebraic Inequalities Math:
Example 1 for algebraic inequalities math:
Solve the algebraic inequalities equation 17x > 85.
Solution:
The given algebraic inequalities equation is 17x > 85.
The given equation is the in- equal equation. So convert the in- equal symbol into the equal symbol to obtain the value for the equations. Replace the in- equal symbol for the equal symbol to obtain the values for the given equation.
17x =85
In the above equation divide 17 from the equation in both sides to get the values.
`(17x)/17` =`85/17`
x =`85/17`
Alter the equalities symbol into the inequalities form.
The value of x after the inequality change is x > `85/17` .
The value for the algebraic inequalities equation 17x > 85 is x> `85/17` .
Example 2 for algebraic inequalities math:
Determine the value of y for the algebraic inequalities equation 10y+180 <0 br="br">
Solution:
The given algebraic inequality equation is 10y+180 <0 .="." br="br">
The given equation is the in- equal equation. So convert the in- equal symbol into the equal symbol to obtain the value for the equations. Replace the in- equal symbol for the equal symbol to obtain the values for the given equation.
10y+180=0
In the above equation subtract 180 from the equation in both sides to get the values.
10y+180 -180 =0-180
10y=-180
Divide by 10on both sides of the above equation.
`(10y)/10` =-`180/10`
y=-18
Alter the equalities symbol into the inequalities form.
The value of y after the inequality change is y<-18 .="." br="br">
The value for the algebraic inequalities equation 10y+180 <0 -18.="-18." br="br" is="is" y="y">
Example 3 for algebraic inequalities math:
Evaluate the algebraic inequality equation 12z+180 <0 .="." br="br">
Solution:
The given algebraic inequality equation is 12z +180<0 .="." br="br">
The given equation is the in- equal equation. So convert the in- equal symbol into the equal symbol to obtain the value for the equations. Replace the in- equal symbol for the equal symbol to obtain the values for the given equation.
12z+180 =0
In the above equation subtract 180 from the equation in both sides to get the values.
12z+180- 180 =0 -180
12z = -180
In the above equation divide 12 on both sides of the equation in both sides to get the values.
`(12z)/12` = -`180/12`
z = -15
Alter the equalities symbol into the inequalities form.
The value of z after the inequality change is z<-15 .="." br="br">
The value for the algebraic inequalities equation 12z +180<0 -15.="-15." br="br" is="is" z="z">
Practice Problem for Algebraic Inequalities Math:
Find the value for the inequalities equation 39z+39 <0 .="." br="br">Answer: z< -1.
Evaluate the value for the algebraic inequalities equation 93 x+ 13>0.
Answer: x> `13/93` .
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