Question

question
solve for x and graph the solution on the number line below.
-7x ≤ 7
answer attempt 1 out of 5
≤ ≥ < > or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
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 \(-7x \leq 7\) by \(-7\): \(\frac{-7x}{-7} \geq \frac{7}{-7}\)

Step2: Simplify both sides

Simplifying gives \(x \geq -1\)

Answer:

Inequality Notation: \(x \geq -1\)
For the number line: Plot a closed circle at \(-1\) (since the inequality is "greater than or equal to") and draw an arrow to the right to represent all numbers greater than or equal to \(-1\).