Find Solutions of an Inequality

What are the solutions of the inequality?
45 ≥ x + 24

• x ≥ 21

• 21 ≥ x

• 69 ≥ x

• x ≤ 69

Write and solve the inequality.
6 times a number plus 28 is greater than 7

• 6n + 28 ≥ 7; n ≥ -3½

• 6n + 28 > 7; n > -3½

• 6n + 28 < 7; n < -3½

• 6n + 28 ≤ 7; n ≤ -3½

Determine the inequality symbol needed for the following situation:
The number x is less than 83.

• x < 83

• x > 83

• x ≤ 83

• x ≥ 83

Write an inequality that represents the situation:
The speed of the car must be no more than 61 miles per hour.

• n > 61

• n ≥ 61

• n < 61

• n ≤ 61

If -½ of a number is no less than 18, what are the possible values of n?  Write an inequality and solve for n.

• -½n ≥ 18; n ≤ -36

• -½n ≥ 18; n ≥ -36

• -½n ≤ 18; n ≥ -36

• -½n ≤ 18; n ≤ -36

You had a bag of fruit snacks that you shared with 5 friends.  Each of you got at most 4 fruit snacks.  
The inequality x ÷ 6 ≤ 4 models this situation.  Solve the inequality to find the number of fruit snacks that were in the bag.

• x ≤ 10

• x ≤ ⅔

• x ≤ 24

• x ≤ -2

Your friend is watching your dog for the next 23 days.  Your dog eats less than 46 treats every 23 days.  
The inequality 23x < 46 models this situation.  Solve the inequality to find the number of treats your friend should feed your dog each day.

• x < 23

• x > 2

• x > 1,058

• x < 2

Solve the inequality.
-3x < 18

• x < -6

• x > -6

• x < 6

• x > 6

Zachary can spend no more than $94 per day to rent a car. A car rents for $30 per day plus $0.20 per mile. Write an inequality for this situation and solve.

• .20m + 30 ≥ 94; m ≥ 320

• .20m + 30 > 94; m > 320

• .20m + 30 ≤ 94; m ≤ 320

• .20m + 30 < 94; m < 320

Carefully examine the work in the image.  Whose solution is incorrect?  What mistake was made?

• Kevin; The Distributive Property was used incorrectly.

• Stephanie; The Commutative Property was used incorrectly.

• Both Kevin and Stephanie; The Associative Property was used incorrectly.

• Neither Kevin nor Stephanie