Linear Inequality and Set Builders

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

c - 7 > 8

• c < 15

• c > 15

• c < - 15

• c >, = 15

Solve
y - 4 > 12

•  y > 16

• y < 16

• y > 8

• y < 8

Write y > 10 solution in set builder notation:

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )

Write the following solution in set builder notation:

all values greater than 10

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )

The shaded region represents the solution sets of the linear inequality.

• True

• False

• Maybe

• Sometimes

Write the following in interval notation
x < 3 or x ≥ 5

• (3, -∞) or (∞, 5]

• [-∞, 3) or [5, ∞]

• (-∞, 3) or [5, ∞)

• (3, -∞] or [∞, 5]

What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

What do you do to solve the graph of the inequality:
     -2x ≤ 10

• divide by -2

• multiply by -2

• multiply by -2 and flip the inequality

• divide by -2 and flip the inequality

Which is the solution of 
-6a ≥ -36

• a ≥ 6

• -6 ≥ a

• a ≤ 6

• 6 ≤ a