Solve and Graph Two-Step Inequalities Involving Integers

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Solve for u. 
u/7 – 1 ≤ 1

• 14≥u

• 14≤u

• u≤14

• u ≤ -14

-9a - 1 < 26

• a < -3

• a < 3

• a > -3

• a > 3

11 > -3y + 2

• -3 > y

• -3 < y

• 3 > y

• 3 < y

-4x + 1 > 21

• x > -5

• x < -5

• x > -80

• x < -80

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t

Do I need to flip my sign?
-3x  ≥ 12

• Yes, because I'll be dividing by a negative number

• No, because you never flip the sign. 

Solve for k.
2k - 9≤ -19

• k ≤ -5

• k ≤ 5

• k < -5

• k < 5

Solve 8 + 4x > 24

• x > 4

• x > 8

• x > 64

• x < 8

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40