Question

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

6x + 19 > -5

answer attempt 1 out of 5

< > ≤ ≥ or

inequality notation:

number line:

Explanation:

Step1: Subtract 19 from both sides

$$6x+19 - 19> - 5-19$$
$$6x>-24$$

Step2: Divide both sides by 6

$$\frac{6x}{6}>\frac{-24}{6}$$
$$x > - 4$$

Answer:

Inequality Notation: \(x > - 4\)

For the number line: Place an open circle at \(-4\) (because the inequality is strict, i.e., \(x\) is greater than \(-4\) not greater than or equal to) and draw an arrow to the right of \(-4\) to represent all the values of \(x\) that satisfy the inequality.