Question

solve the inequality and graph the solution on the line provided.
2x + 3 < -7
answer attempt 2 out of 2
< > ≤ ≥ or
inequality notation: x < -4
number line:

Explanation:

Step1: Subtract 3 from both sides

$$2x+3 - 3\lt - 7-3$$
$$2x\lt - 10$$

Step2: Divide both sides by 2

$$\frac{2x}{2}\lt\frac{-10}{2}$$
$$x\lt - 4$$

Answer:

Inequality Notation: \(x\lt - 4\)

For the number line: Draw an open circle at \(-4\) (because the inequality is strict, i.e., \(x
eq - 4\)) and shade the line to the left of \(-4\) (since \(x\) is less than \(-4\)).