Question

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

3 - 8x > -53

answer attempt 1 out of 2

< > ≤ ≥ or

inequality notation:

number line:

submit answer

Explanation:

Step1: Subtract 3 from both sides

$$3 - 8x-3>-53 - 3$$
$$-8x>-56$$

Step2: Divide both sides by -8 (and reverse the inequality sign)

When dividing an inequality by a negative number, the inequality sign flips.
$$\frac{-8x}{-8}<\frac{-56}{-8}$$
$$x < 7$$

Answer:

Inequality Notation: \(x < 7\)

To graph on the number - line: Place an open circle at \(x = 7\) (because the inequality is strict, \(x
eq7\)) and draw an arrow to the left (towards the smaller numbers) since \(x\) is less than 7.