Homework

Problem 1 · easy

Solve and write in interval notation: x + 3 > 7

Problem 2 · easy

Solve and write in interval notation: 2x - 1 <= 9

Problem 3 · easy

Solve: -4x < 20. Write in interval notation.

Problem 4 · easy

Solve: 3x + 5 >= 14. Write in interval notation.

Problem 5 · medium

Solve: -2x + 7 > 3. Write in interval notation.

Problem 6 · medium

Solve: 4(x - 1) < 2x + 8. Write in interval notation.

Problem 7 · medium

Solve the compound inequality: -3 < x + 2 < 5. Write in interval notation.

Problem 8 · medium

Solve: -2 <= 3x + 1 <= 13. Write in interval notation.

Problem 9 · medium

Solve the OR inequality: x - 4 > 2 OR x + 1 < -3. Write in interval notation.

Problem 10 · easy

Solve: |x| = 9

Problem 11 · easy

Solve: |x - 4| = 7

Problem 12 · medium

Solve: |2x + 3| = 11

Problem 13 · easy

Solve: |3x - 6| = 0

Problem 14 · medium

Solve: |x + 1| < 5. Write in interval notation.

Problem 15 · medium

Solve: |2x - 4| <= 6. Write in interval notation.

Problem 16 · medium

Solve: |x - 3| > 4. Write in interval notation.

Problem 17 · challenge

Solve: |3x + 2| >= 8. Write in interval notation.

Problem 18 · medium

Solve: |5x - 1| < 0. State solution.

Problem 19 · medium

A salesperson earns $500/week plus 8% commission. They need to earn at least $900 per week. What is the minimum sales amount needed?

Problem 20 · easy

The length of a rectangle must be less than 3 times its width and the width is 8 cm. What values can the length take? Write in interval notation.

Problem 21 · challenge

Solve: 1 < -2x + 5 < 11. Write in interval notation.

Problem 22 · challenge

Solve: |x + 5| = |x - 3|

Problem 23 · easy

Write the set {x : -3 <= x < 7} in interval notation.

Problem 24 · challenge

Solve: -(x + 3) >= 2x - 6

Problem 25 · medium

Solve: |4x - 8| < 12. Write in interval notation.