Question

solve for x and graph the solution on the number line below.
-7x ≥ 63
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
submit answer

Explanation:

Step1: Divide both sides by -7

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-7x \geq 63\) by \(-7\):
\(\frac{-7x}{-7} \leq \frac{63}{-7}\)

Step2: Simplify both sides

Simplify the left side: \(\frac{-7x}{-7} = x\)
Simplify the right side: \(\frac{63}{-7} = -9\)
So we get \(x \leq -9\)

Answer:

Inequality Notation: \(x \leq -9\)
For the number line: Plot a closed circle at \(-9\) (since the inequality is "less than or equal to") and draw an arrow to the left (indicating all numbers less than or equal to \(-9\)).