Solving Inequalities

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8

Solve  $\frac{n}{3}>-20$  

• n > 60

• n < -17

• n > -60

• n < -23

4x + 1 > 13

• x > 48
• x < 3
• x > 3.5
• x > 3

Tags

CCSS.7.EE.B.4B

6x - 4 ≥ 26

• x ≥ 3.67
• x ≥ 5
• x < 5
• x ≤ 5

Tags

CCSS.7.EE.B.4B

Do you need to reverse (flip) the inequality sign when solving this inequality?

8y < -40

• YES

• NO

When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Tags

CCSS.6.EE.B.8

When graphing an inequality, you use an open dot when you use which symbols?

• ≤, ≥

• <, >

• ≤, <

• ≥, >

• x < -20

• x > -20

• x > 20

• x < 20

Tags

CCSS.7.EE.B.4B

2x + 6 ≥ -8

• x ≥ -7
• x ≤ -7
• x ≥ -10 
• x ≤ -10

Tags

CCSS.7.EE.B.4B

Pheobe has $500 in a savings account at the beginning of the summer. She wants to have at least $200 in account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Pheobe's situation.

• 200+25w ≥ 500
• 500-25w ≥ 200
• 500+25w ≤ 200
• 200-25w ≤ 500

Tags

CCSS.7.EE.B.4B