Solve for xx and graph the solution on the number line below.

Question

minus, 21, is greater than or equal to, minus, 7, x
−21≥
−7x

Answer 1

To solve for x, we first need to isolate x on one side of the inequality.

-21 ≥ -7x

Divide both sides by -7 and remember to reverse the inequality sign since we are dividing by a negative number:

3 ≤ x

Now we need to graph this solution on the number line:

----o----o----o----o----o----o----o----o----o----o----o----o----o----o

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Since the inequality is "greater than or equal to", we use a filled-in circle at 3, and shade to the right on the number line to show that x is greater than or equal to 3.

---o--->

So the solution to the inequality is x ≥ 3.