Double Inequalities

Solve:
3x + 2 < -7 or -4x + 5 < 1

• x < -3 and x < 1

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Graph the double inequality -3 < 2x + 1 < 7 on a number line.

• The graph will show the solution as -3 < x < 7.

• The graph will show the solution as -2 < x < 3.

• The graph will show the solution as -1 < x < 2.

• The graph will show the solution as -4 < x < 6.

Solve the double inequality -4 < 2x + 3 < 10 using addition and subtraction.

• -4 < 2x < 7

• -7 < 2x < 10

• -7 < 2x < 7

• -4 < 2x < 10

Solve the double inequality 2 < 4x - 3 < 10 using addition and subtraction.

• 5 < 4x < 13

• 5 < 4x < 15

• 2 < 4x < 10

• 5 < 4x < 7

Solve the double inequality 6 < 5x + 4 < 14 using addition and subtraction.

• 4 < 5x < 11

• 2 < 5x < 9

• 1 < 5x < 10

• 3 < 5x < 8

Solve the double inequality 3 < 4x + 2 < 9 using addition and subtraction.

• 0.5 < x < 2.5

• 4 < x < 6

• 2 < x < 4

• 1 < x < 3

Solve the double inequality -5 < 3x + 1 < 7 using multiplication and division.

• 0 < x < 4

• -4 < x < 6

• -2 < x < 2

• 1 < x < 5

Graph the double inequality 4x - 8 < 12 and 2x + 3 > 5 on a number line.

• Option B

• Option D

• Option A

• Option C

Solve the double inequality 2 < 3x - 5 < 11 using multiplication and division.

• 4 < x < 9

• 2.33 < x < 5.33

• 1 < x < 6

• 3 < x < 8

Solve the double inequality 5 < 3x - 2 < 11 using addition and subtraction.

• 3 < 3x < 11

• 7 < 3x < 13

• 7 < 3x < 11

• 5 < 3x < 13