SAT Math-Linear Inequality (medium difficulty)

Question

If (-2*|2x-5| - 7) < 3, what is the range of values for ‘x’?

A) 0 < x < 5

B) x < 0 or x > 5

C) −∞ < x < ∞

D) No real numbers

Answer 1

Steps

.-2|2x-5|-7 < 3

-2|2x-5|<10

|2x-5| > -5

We know that the absolute value of any function is greater than or equal to 0, thus for all values of x, this equation is true. The correct answer should be (C)