Question

Solve the inequality below for x, where c is less than 0.

cx - 4 ≥ 7

1. x ≤ 11/c
2. x ≥ 11/c
3. x ≥ 3/c
4. x ≤ 3/c

Answer 1

Hi there! The first answer is correct.

Let's solve this equation step by step!
$cx - 4 \geqslant 7$

First add 4 to both sides of the equation
$cx \geqslant 11$

Now divide both sides of the equation by c. Because c is a negative number, we mustn't forget to flip te sign.
$x \leqslant \frac{11}{c}$

The first answer is correct.
~ Hope this helps you!