Question

solve and graph 3x - 4 ≥ 7x + 8

Explanation:

Step1: Move x - terms to one side

$3x-7x\geq8 + 4$

Step2: Combine like - terms

$-4x\geq12$

Step3: Solve for x

$x\leq - 3$ (When dividing both sides of an inequality by a negative number, the direction of the inequality sign changes)

Answer:

The solution of the inequality is $x\leq - 3$. To graph it, draw a closed circle at $x = - 3$ (because the inequality includes equality, $\geq$) on the number - line and shade the line to the left of $x=-3$.