The solution of the provided inequality expression 2|5-2x|-3≤15 is (-2,7). Option C is the correct option.
What is the inequality equation?
Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
The provided inequality is,
[tex]2|5-2x|-3\leq15[/tex]
Add number 3 both side of the equation,
[tex]2|5-2x|-3+3\leq15+3\\2|5-2x|\leq18[/tex]
Divide both side with number 2,
[tex]|5-2x|\leq\dfrac{18}{2}\\|5-2x|\leq9[/tex]
Solve it further,
[tex]5-2x\leq9\\-2x\leq9-5\\-x\leq \dfrac{4}{2}\\x\geq-2[/tex]
For the positive value, we consider the different case as,
[tex]2x\leq9+5\\x\leq \dfrac{14}{2}\\x\leq7[/tex]
Thus, the solution of the provided inequality expression 2|5-2x|-3≤15 is (-2,7). Option C is the correct option.
Learn more about the inequality equation here:
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