Question

solve the inequality and graph the solution on the line provided.

6 + 7x ≤ -15

answer attempt 1 out of 10

< > ≤ ≥ or

inequality notation:

number line:

Explanation:

Step1: Subtract 6 from both sides

$$6 + 7x-6\leq - 15-6$$
$$7x\leq - 21$$

Step2: Divide both sides by 7

$$\frac{7x}{7}\leq\frac{-21}{7}$$
$$x\leq - 3$$

Answer:

Inequality Notation: \(x\leq - 3\)

For the number - line: Place a closed circle at \(-3\) (because the inequality is \(\leq\)) and shade to the left of \(-3\) (since \(x\) is less than or equal to \(-3\)).