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QUESTION IMAGE

question solve the inequality and graph the solution on the line provid…

Question

question
solve the inequality and graph the solution on the line provided.
7x - 2 < 54
answer
attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Add 2 to both sides

$$7x-2 + 2<54 + 2$$
$$7x<56$$

Step2: Divide both sides by 7

$$\frac{7x}{7}<\frac{56}{7}$$
$$x < 8$$

Answer:

Inequality Notation: \(x < 8\)

For the number - line: Place an open circle at \(x = 8\) (since the inequality is strict, \(x
eq8\)) and shade the line to the left of \(8\) towards negative infinity.