Question

related questions: lesson 5: inequalities

q. select the option that makes the inequality true.

(8x - 1 < 7)

a. 0
b. 2
c. 4
d. 6

Explanation:

Write down the given inequality

We are given the linear inequality:

$$8x - 1 < 7$$

Solve the inequality for x

To isolate the variable \(x\), we first add \(1\) to both sides of the inequality:

$$8x < 7 + 1$$

$$8x < 8$$

Next, we divide both sides by \(8\):

$$x < 1$$

Evaluate the given options

We need to find which of the given options satisfies the condition \(x < 1\):

• Option A: \(0 < 1\) (True)
• Option B: \(2 < 1\) (False)
• Option C: \(4 < 1\) (False)
• Option D: \(6 < 1\) (False)

Therefore, only \(0\) makes the inequality true.

Answer:

• (A) 0 (Correct answer)
• (B) 2
• (C) 4
• (D) 6