Question

Solve the inequality for x. 6 − 5x ≥ 21 A) x ≥ −3 B) x > −3 C) x ≤ −3 D) x ≥ 3

Answer 1

The solution for given inequality 6 − 5x ≥ 21 is x ≤ -3 and correct option is C

Solution:

Given inequality is 6 − 5x ≥ 21. We need to solve the inequality for "x"

An inequality is a mathematical sentence that uses symbols such as greater than or equal to, less than or equal to or less than or greater than to compare two quantities

On subtracting each side from -6, we get

6 – 5x - 6 ≥ 21 - 6

-5x ≥ 15  

On dividing both the sides by 5 we get

$\frac{-5}{5} x \geq \frac{15}{5}$

-1x ≥ 3

On multiplying both sides by -1 (operator will be reversed )

x ≤ -3

Hence correct solution of given inequality is x ≤ -3