Solving Single Inequalities

Solve and graph the inequality.

77 ≤ 5 + 8n

• A

• B

• C

• D

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride. Let m represent the number of miles traveled. Which inequality best describes how many miles Katie can ride in this taxi?

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Which inequality is represented by the following graph

• x < -8

• x > -8

• x ≥ -8

• x ≤ -8

Match the graph with its inequality.

• a < 11

• a > 11

• a ≥ 11

• a ≤ 11

-2x ≤ 4

• divide by -2 on both sides and your answer will be

  x = -2

• divide by -2 on both sides and you will switch the direction of the inequality since you are dividing by a negative and your answer will be

  x ≥ -2

• divide by -2 on both sides and your answer will be

  x ≤ -2

-13t > 26

• t > -2

• t > 2

• t < 2

• t < -2

4 + 9y - 3 ≥ 3(3y + 2)

• no solution

• all real numbers

• y ≥ 7

• y ≥ 6

At the right is a portion of the menu at a restaurant. The inequality m<6 represents the amount of​ money, m, that Jon has to spend on lunch at the restaurant. Which items can he choose for​ lunch? Mark all that apply.

• Meatball Sub

• Grilled Hot Dog

• Cobb Salad

• Two Grilled Hot Dogs

• Three Grilled Hot Dogs

Solving Inequalities

Solve the following inequality. How can we graph it?

• closed circle at -9 shade to left and right

• open circle at -9 shade to left and right

• open circle at -15 shade to left and right

• open circle at -12 shade to left and right

What inequality does the number line graph represent?

• x ≥ 3

• x > 3

• x < -3

• x ≤ -3