Short Constructed Response Inequalities

Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22

• x > -5 or x ≤ 4

• x ≥ -5 or x < 4

• x > -5 and x ≤ 4

• x ≥ -5 and x < 4

Tags

And inequality

Solving

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 

• x < 2  or  x > 5

• x < -2  and  x > 5 

• x < 2  and  x > 5

Tags

Or inequality

Solving

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

Tags

Or inequality

Solving

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Tags

And inequality

Solving

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Tags

And inequality

Graph

Choose the correct inequality for this graph.

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Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.

• y < -3/4x - 2 
• y > -3/4x - 2 
• y ≤ -3/4x - 2 
• y ≥ -3/4x - 2 

What graph matches this inequality?

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Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)