Question

1. directions

select up to 2 number line button(s) below. click to activate and drag the circles on the number line to graph the answer
what is the solution set to the inequality ( 12 - 4w>2(w - 18) )?
select a ray. move the point on the ray to the correct place on the number line.

Explanation:

Step1: Expand the right side

$$12 - 4w>2w-36$$

Step2: Move terms with \(w\) to one side

Add \(4w\) to both sides: \(12>6w - 36\)

Step3: Isolate the term with \(w\)

Add \(36\) to both sides: \(48>6w\)

Step4: Solve for \(w\)

Divide both sides by \(6\): \(w < 8\)

Answer:

Select the ray with the open - circle (since the inequality is \(w<8\), not \(w\leqslant8\)) and the arrow pointing to the left. Place the open - circle at \(8\) on the number line.