Solving, Writing, and Graphing Inequalities

When do you reverse the symbol when solving an inequality?

• if you subtract on both sides

• anytime you multiply or divide on both sides

• when there is a negative anywhere in the problem

• if you multiply or divide on both sides by a negative number

The inequality h ≥ 48 represents the minimum height necessary to ride a certain roller coaster. Who can ride this roller coaster?

• Sara only

• Anna only

• Anna and Sara

• Anna, Patrick and Miguel

The inequality a < 10 represents the ages that qualify for a child ticket at the movie theater. Which children in the Rodgers' family qualify for a child ticket?

• Chris, Megan, Piper

• Piper only

• Chris and Megan

• Piper and Mark

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.

x + 5 > 7

• x > -2

• x > 2

• x > 12

• x > -12

r - 14 ≥ 17

• r ≥ 3

• r ≥ -31

• r ≥ 31

• r ≥ -3

Solve for x: x + 8 > 17

• x < 9

• x > 8

• x < 8

• x > 9

Solve for x: 30 ≤ 2(x + 4) - 5x - 20

• x < -14

• x > -14

• x ≤ -14

• x ≥ -14

Which symbol stands for "greater than or equal to"?

• 
• 
• 
• 

True or False: Anytime you multiply or divide an inequality by a negative number, the inequality symbol flips.

• True

• False