Question

Which statement is true for the inequality 2(x-2)< x +2Select one:The inequality is true for all values of x.The inequality is only true for numbers less than 6.The inequality is never true.The inequality is only true for numbers greater than -6.

Answer 1

We are given the following inequality

[tex]2(x-2)Let us solve the inequality for x

Expand the parenthesis on the left side of the inequality

[tex]\begin{gathered} 2(x-2)Combine the like terms together [tex]\begin{gathered} 2x-4So, the solution of the inequality is x < 6

The inequality is only true for numbers less than 6