Solving and Graphing Inequalities Add and Subtract

When solving an inequality, you must flip the sign when?

• Adding or subtracting a negative number

• Multiplying or dividing by a negative number

• Never

• Always

The solution to the inequality 5x − 4 > 21 is represented by which number line?

• 
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• 
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Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number

• No, because you never flip the sign. 

Solve for k in the following inequality and choose the best answer to match the graph:

2k - 9 ≤ -19

• The graph would have a closed circle shaded left at -5.

• The graph would have a closed circle shaded left of 5.

• The graph would have an open circle shaded left of -5.

• The graph would have an open circle shaded left of 5.

When solving the inequality below, what is the SECOND step to solving?

-3w - 2 < -17

• Dividing both sides by 3.

• Adding -3 to both sides.

• Adding 2 to both sides.

• Dividing both sides by -3.

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

• Add 8 to both sides of the inequality.

• Divide by negative four on both sides of the inequality.

• Subtract negative eight to both sides of the inequality.

• Subtract eight to both sides of the inequality.

Solve the following inequality and choose the best answer: 4x - 8 < -16

• The graph would be an open circle shading right of 2

• The graph would have a closed circle shading left of -2

• The graph would have an open circled shading left of -2

• The graph would have a closed circle shading right of 2

Solve the following Inequality.

x + 5 > 9

• x > 14

• x > 4

• x < 4

• X > 3

Solve the following Inequality.

w - 5 > 17

Which numbers are possible solutions for the inequality numbered below? (Pick more than one answer)

• 11

• 13.5

• -12

• 14