Solving/interpreting linear inequalities in one variable

Solve the following compound inequality:

-3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -1 < x < 3

• 1 < x < 3

• 1 ≤ x ≤ 3

2<x+2<5

• 0<x<3

• 4<x<7

• 4<x<3

• 0<x<7

How do you feel about solving inequalities now?

• Great

• Good

• Ok

• Not good

 $x-3\left(x+2\right)>4$  

•  $x<-5$  

•  $x>-5$  

•  $x>-10$  

•  $x<7$  

• 4

• -4

• -1

• 1

Solve:

-5 < 2x + 7 < 11

• -2.5 < x < 2

• -6 < x < 2

• -6 < x < 5.5

• -2.5 < x < 5.5

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On the graph, draw the vertical line t = 3. Use the line to determine all the possible heights of the balloon after 3 minutes. Write your answer as an inequality.

• The balloon is between 400 ft and 1000 ft;

  400 ≤ y ≤ 1000.

• The balloon is between 4 ft and 8 ft;

  4 ≤ y ≤ 8.

• The balloon is between 0 ft and 2000 ft;

  0 ≤ y ≤ 2000.

Solve the simultaneous equation $1\le4x+1\le17$   

•  $x<0\ \ ,\ x\ge4$  

•  $0\le x\le4$  

•  $0<x<4$  

•  $0\ge x\ge4$  

What is the largest possible value x could be in the inequality x < 14

• 15

• 14

• 13

• 12

What is the solution set to x if 0 < x < 6?

• 1, 2, 3, 4, 5

• 0, 1, 2, 3, 4, 5,

• 1, 2, 3, 4, 5, 6

• 0, 1, 2, 3, 4, 5, 6