Inequalities

Solve the inequality: x+5<7

• x<12

• x<2

• x>2

• x>-2

Answer explanation

To solve the inequality x+5<7, we subtract 5 from both sides to get x<2. Therefore, the correct answer is x<2.

solve the inequality: x/4 -10> 2

• x>12

• x>3

• x<48

• x>48

Answer explanation

To solve the inequality x/4 - 10 > 2, first add 10 to both sides to get x/4 > 12. Then, multiply by 4 to get x > 48. Therefore, the correct answer is x > 48.

Solve the inequality: 3x - 9 > 0

• x > 3

• x < 3

• x > -3

• x < -3

Answer explanation

To solve the inequality 3x - 9 > 0, add 9 to both sides to get 3x > 9, then divide by 3 to find x > 3. Therefore, the correct answer is x > 3.

Solve the inequality: 2(x - 5) < 8

• x < 9

• x > 9

• x < 5

• x > 5

Answer explanation

To solve the inequality, first distribute the 2: 2x - 10 < 8. Then, add 10 to both sides: 2x < 18. Finally, divide by 2 to get x < 9.

Solve the inequality: -4x + 1 < 5

• x > -1

• x < -1

• x > 1

• x < 1

Answer explanation

To solve the inequality -4x + 1 < 5, first subtract 1 from both sides to get -4x < 4. Then, divide by -4 (a negative number, so flip the inequality sign) to get x > -1, which means x < -1 is the correct choice.

solve the inequality: x-6 < 15

• x < 9

• x < -21

• x < 21

• x > 21

Answer explanation

To solve the inequality x-6 < 15, we add 6 to both sides to get x < 21. Therefore, the correct answer is x < 21.

solve the inequality: 2x+4>24

• x > 10

• x < 10

• x > 14

• x > -10

Answer explanation

To solve the inequality 2x + 4 > 24, first subtract 4 from both sides to get 2x > 20. Then divide by 2 to find x > 10. Therefore, the correct answer is x > 10.

solve the inequality: x-3 < -8

• x < 5

• x < -12

• x < -5

• x < 6

Answer explanation

To solve x-3 < -8, add 3 to both sides to get x < -5. Therefore, the correct answer is x < -5.