Question

solve the inequality and graph the solution on the line provided.
-7 + 7x ≤ -14
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation: i
number line:

Explanation:

Step1: Add 7 to both sides

$$-7 + 7x+7\leq -14 + 7$$
$$7x\leq -7$$

Step2: Divide both sides by 7

$$\frac{7x}{7}\leq\frac{-7}{7}$$
$$x\leq - 1$$

Answer:

Inequality Notation: \(x\leq - 1\)

For the number - line: Place a closed circle at \(x = - 1\) (because the inequality is \(\leq\)) and shade to the left of \(x=-1\) (since \(x\) is less than or equal to \(-1\)).