Inequalities

Solve
-5m < 10

• m < -2

• m > -2

• m < -50

• m > -50

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

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

It costs Amy $0.20 to send a text message.  She has already spent $5 in text messages this month.  If she has a total of $12 that can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that she can send.

• 0.20x + 5 = 12;
  85 text messages

• 0.20(5x) = 12; 
  12 text messages

• 0.20x + 5 ≤ 12;
  x ≤ 35 

• 0.20x + 5 ≥ 12;
  x ≥ 35

What are two solutions to x < 8?

• 8.6, 7.9

• 11, 16

• 0.8, 5.9

• 12, 7.1

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41

• Calvin ran no less than 41 miles, m

• The temperature, m, was less than 41°F

• The magazines’ cost, m, was not more than $41.

You flip an inequality symbol when you...

• subtract

• multiply and divide only

• multiple by a negative number

• multiple or divide by a negative number

-2(5 + 6n) < 6(8 − 2n)

• no solution

• infinite solution

• x < 0

• x > 0

solve 5( 6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6