9D Compound Inequalities June 2021

Which graph represents -5≤x≤5?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Which graph represents x<-2 or x>3?

• Graph 1

• Graph 2

• Graph 3

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

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

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

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

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

• 5x + 2.50 ≤ 20

• 2.50x + 5 < 20

• 2.50x + 5 ≤ 20

• 7.50x < 20

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?

• 2x + 10 ≥ 25
• 2x + 10 > 20
• 2x + 10 ≤ 25
• 2x + 10 < 25

Which compound inequality is graphed above?

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

***Make sure you write your answers/show work on a sheet of notebook paper.***

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

• <, >

• ≤, ≥