Step 1: Subtract 3 from both sides of the inequality.

Question

Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.

What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.

Answer 1

To solve the inequality \( 5 - 8x < 2x + 3 \) using the steps provided:

1. Start with the original inequality: \[ 5 - 8x < 2x + 3 \]

2. Step 1: Subtract 3 from both sides: \[ 5 - 3 - 8x < 2x + 3 - 3 \] \[ 2 - 8x < 2x \]

3. Step 2: The missing step here should involve getting all the \(x\) terms on one side. We can do this by adding \(8x\) to both sides: \[ 2 < 2x + 8x \] \[ 2 < 10x \]

4. Step 3: Finally, divide both sides of the inequality by the coefficient of \(x\), which is 10: \[ \frac{2}{10} < x \] \[ \frac{1}{5} < x \] or equivalently \(x > \frac{1}{5}\).

So, the missing step in solving the inequality is: Add 8x to both sides of the inequality.