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Inequalities Answer Key

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Writing Inequalities
#1

Write the sentence as an inequality. A number y is no more than -8.

y≤-8

#2

Write the sentence as an inequality. The quotient of a number and -3 is no more than 14.7.

n/(-3)≤14.7

#3

Write inequality for the graph 

x≤-4

#4

The area of the rectangle is not less than 35 in2. Write an inequality that represents this situation

8(x+3)≥35 or 8x+24≥35

#5

A killer whale has eaten 75 lbs of fish. It needs to eat at least 140 lbs each day. A bucket holds 15 lbs of fish. Write an inequality that represents this situation and the number of buckets of fish the whale still needs to eat.

140≤75+15b

Solving w/ + or -
#1

Solve the inequality. x+7≥18

x≥11

#2

Solve the inequality. h-6≤-8.4

h≤-2.4

#3

Solve the inequality. -0.7>r+0.2

-0.9>r

#4

Solve the inequality represented by the problem for x. The perimeter is less than 28 feet.

 

28>x+14, x<14

#5

A small airplane can hold 44 passengers. There are currently 15 passengers on the plane. Write and solve an inequality that represents the additional number of passengers that can board the plane.

44≥x+15, x≤29

Solving w/ • or ÷
#1

Solve the Inequality. 2n>20

 

n>10

#2

Solve the Inequality. c⁄9≤-4

c≤-36

#3

Solve the Inequality. -12.6≥4.2y

-3≥y

#4

Solve the Inequality. -7w>49

w<-7

#5

Solve the Inequality. -6.6>b/-2.5 

16.5<b

2-Step Inequalities
#1

Solve the inequality. 8y-5<3

y<1

#2

Solve the inequality. -2>(m/6)-7

30>m

#3

Solve the inequality. 9x + 4 - 4x ≥ 36 - 12

x≥5

#4

Solve the inequality. 5(g+4)>15

g>-1

#5

Solve the inequality. 21≤-3(c-4)

-3≥c

Graphing and Checking Solutions
#1

Graph. x>8

#2

Graph. y≤-2

#3

Tell whether the given value is a solution. 

Yes -18 is a solution

#4

Each day at lunchtime, at least 53 people buy food from a food truck . Graph the solutions to this problem.

#5

Tell whether the given value is a solution. 



No 1/4 is not a solution

Final Question

Solve. -3(4+r)≤21

r≥-11