Question

graph the solution set to this inequality.
3x - 12 ≥ 7x + 4

Explanation:

Step1: Subtract \(3x\) from both sides

\(-12 \geq 4x + 4\)

Step2: Subtract 4 from both sides

\(-16 \geq 4x\)

Step3: Divide by 4

\(-4 \geq x\) (or \(x \leq -4\))

Step4: Graph the solution

Closed point at \(x=-4\) (since inequality includes equality), ray pointing left (for values ≤ -4).

Answer:

The solution set is \( x \leq -4 \), graphed as a closed point at -4 and a ray extending left.