Question

$|-3x+7|>-5$
Which of the following best describes the solutions to the inequality shown above?

• A. $\frac{7}{3}<x<3$
• B. No solution
• C. $x<\frac{7}{3}orx>3$
• D. All the real numbers

Answer 1

The correct option is D All the real numbers

$|-3x+7|>-5$
The left hand side is an absolute value, which is positive or zero for every possible value of x. Therefore, the above statement would be true for every value of x.

[a positive number] > -5
The answer is option D, all the real numbers.