SOLVE COMPOUND INEQUALITIES

-2 < x - 9 < 3

• x < 12

• 7 < x

• 7 < x < 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

0 < x + 7 < 9

• -7<x   and   x<2
• -7<x   or   x<2
• -7>x   and   x>2
• -7>x  or   x>2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

−6 < 2t − 5 < 3

• −0.5 < t < 1

• 0.5 < t < −1

• −11/2 < t < 2

• 11/2 < t < −2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

2 < 3x - 12 < 5

• $\frac{14}{3}\ <\ x\ <\ \frac{17}{3}$

• $\frac{3}{14}\ <\ x\ <\ \frac{3}{17}$
  

• $4\ <\ x\ <3$
  

• $42\ <\ x\ <\ 51$
  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve:

3x + 2 < -4 or 4x + 4 > 28

• x < -2 or x > 6

• x < 2 or x > 6

• x < -2 and x > 6

• x < 2 and x > 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

3x + 2 < -4 or 4x + 4 > 28

• x < -2 or x > 6

• x < 2 or x > 6

• x < -2 and x > 6

• x < 2 and x > 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve:

6x + 2 < -16 or -4x + 5 < 1

• x < -3 and x < 1

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Write an inequality for Graph 3.

• 5 < x ≤ -2

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12