Final answer:
To solve the inequality 5 – 8x < 2x + 3, the missing step is to add 8x to both sides of the inequality.
Step-by-step explanation:
To solve the inequality 5 – 8x < 2x + 3, you need to determine the missing step. The missing step is to add 8x to both sides of the inequality to isolate the variable x on one side. This step will help simplify the inequality and allow you to solve for x. Here's the step-by-step process:
- Start with the inequality: 5 – 8x < 2x + 3
- Add 8x to both sides: 5 – 8x + 8x < 2x + 3 + 8x
- Combine like terms: 5 < 10x + 3
- Subtract 3 from both sides: 5 - 3 < 10x + 3 - 3
- Simplify: 2 < 10x
Therefore, the missing step is to add 8x to both sides of the inequality.