Multi Step Inequalities Quiz

To solve the inequality 4x - 1 > 15, we need to isolate the variable x. Adding 1 to both sides of the inequality, we have 4x > 16. Then, dividing both sides by 4, we get x > 4. This means that any value of x greater than 4 will satisfy the inequality.

The given inequality is -7p - 5 4. Therefore, the correct answer is p > 4.

The given inequality is 5x - 10 > 20. To solve this, we can start by adding 10 to both sides of the inequality, which gives us 5x > 30. Then, we can divide both sides of the inequality by 5, resulting in x > 6. Therefore, the correct answer is x > 6.

The given inequality states that x minus 6 is less than 9. To solve for x, we can add 6 to both sides of the inequality to isolate x. This gives us x is less than 15. Therefore, the correct answer is x is less than 30.

The given inequality is -2x + 6 ≤ 20. To solve for x, we need to isolate x on one side of the inequality. Subtracting 6 from both sides, we get -2x ≤ 14. Dividing both sides by -2, we have x ≥ -7. Therefore, the correct answer is x ≥ -7.

The graph above represents all the values of x that are greater than or equal to 3. This is indicated by the line on the graph being solid and not dashed. The inequality x ≥ 3 means that x can be any value that is equal to or greater than 3.