The solution to the inequality expression are x>7 and x<-6
Inequality
Inequalities are expressions not separated by an equal sign. Given the inequality expression
|4x−2|>26.
This can be positive or negative
If it is positive, then;
4x - 2 > 26
4x > 26 +2
4x > 28
x > 7
If the modulus is negative
-(4x-2) > 26
-4x + 2 > 26
-4x > 26 - 2
-4x > 24
Divide both sides by -4
-4x/-4 < 24/-4
x < -6
The solution to the inequality expression are x>7 and x<-6
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