Question

solve the inequality and graph the solution on the line provided.
6 + 7x ≤ -43
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:

Explanation:

Step1: Subtract 6 from both sides

$$6 + 7x-6\leq - 43-6$$
$$7x\leq - 49$$

Step2: Divide both sides by 7

$$\frac{7x}{7}\leq\frac{-49}{7}$$
$$x\leq - 7$$

Answer:

Inequality Notation: \(x\leq - 7\)

For the number - line: Place a closed circle at \(-7\) (because the inequality is \(\leq\)) and shade to the left of \(-7\) (since \(x\) is less than or equal to \(-7\)).