Inequalities No Negatives

When graphing inequalities:

Use an open circle for ​​ (a)   .

Use a closed circle for ​​​​ (b)   .

• > or <

• ≥ or ≤

• 10
  

• 3

• 5

• 2

Answer explanation

There can and usually are more than one solution to an inequality.

• 8

• 20

• 15

• 12

Answer explanation

When you solved you should have gotten  $x\ <\ 15$  and 15 is NOT LESS THAN 15.  

Select all values that satisfy the inequality.

• 2

• 4

• 5

• 6

Answer explanation

X<5 Does not include 5.  There is not a  $\ge$  

3x + 5 ≤ 17

Select all values that satisfy the inequality.

• 4

• 2

• 5

• 6

Answer explanation

 $x\ \le\ 4$  Less than AND Equal 

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

25 < X - 10

• X > 35

• X < 35

• X > -35

• X < -35

Solve the following inequality for x:

2.5x + 3.75 ≤ 16.25

• x ≤ 5

• x ≥ 5

• x ≤ 8

• x ≥ 8

Fred was planning an 8-week cross-country hike through Europe. He planned on taking $1650 with him for food and other expenses. He wanted to return home with at least $450. Which inequality will allow Fred to determine how much he can spend each week?

• 1650 - 8w < 450

• 1650 - 8w > 450

• 1650 - 8w ≤ 450

• 1650 - 8w ≥ 450

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40