Question

multiple choice 1 point
the solution to -8x + 3 ≥ 5 can best be described as
closed circle, shaded to the right
closed circle, shaded to the left
open circle, shaded to the right
open circle, shaded to the left

Explanation:

Step1: Solve the inequality

Subtract 3 from both sides: $-8x+3 - 3\geq5 - 3$, which simplifies to $-8x\geq2$.

Step2: Isolate x

Divide both sides by - 8. When dividing an inequality by a negative number, the direction of the inequality sign changes. So $x\leq-\frac{1}{4}$.

Step3: Analyze graph representation

The inequality $x\leq-\frac{1}{4}$ has a closed - circle (because of the $\leq$ sign) and is shaded to the left on the number line.

Answer:

Closed circle, shaded to the left