Question

other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line.
6(x - 4) - 4(x + 2) ≥ 2x - 9
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set is. (type your answer in interval notation.)
b. the solution set is ∅.

Explanation:

Step1: Expand both sides of inequality

$6x - 24 - 4x - 8 \geq 2x - 9$

Step2: Simplify left-hand side

$2x - 32 \geq 2x - 9$

Step3: Subtract $2x$ from both sides

$-32 \geq -9$

Step4: Evaluate the resulting statement

This is a false statement, so there is no solution.

Answer:

B. The solution set is $\emptyset$