Question

topic: solving one - step inequalities
progress
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
solve and graph: - 3x + 4 ≤ 7

Explanation:

Step1: Isolate the term with x

Subtract 4 from both sides of the inequality $-3x + 4\leq7$.
$-3x+4 - 4\leq7 - 4$
$-3x\leq3$

Step2: Solve for x

Divide both sides by - 3. When dividing an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-3x}{-3}\geq\frac{3}{-3}$
$x\geq - 1$

The graph of $x\geq - 1$ has a closed - circle at $x = - 1$ (because the inequality includes equality) and the line extends to the right.

Answer:

The first option (the one with a closed - circle at $-1$ and the line extending to the right)