Word Problems
Solve the inequality adding
solve the inequality subtracting
solve the inequality multiplying
solve the inequality multiplying and dividing
100

Leila is designing a rectangular table.  It is 3 ft by x/4 ft. What is the inequality you would use if the area is to be 12 square feet or less?

(3)(x/4) < or =12

100

b + 1/8 < -2

b < -17/8

100

x - 2 > -6

x >-4

100

3.5 x < 7

x < 2

100

-2/3 x < 2

x > -3

200

Solve (3)(x/4) < or =12 for x

x< or equal to 16

200

x + 7 > 10

x > 3

200

x - 2.5 > 8.7

x > 11.2

200

-1/2 x < 6

x > -12

200

-x/3>2

x < -6

300

x< or = 16.  What is the range of values for x that are reasonable in the context that this is the area of a rectangular table.

The side lengths of the table must be positive, so x must be greater than zero but < or = 16

300

x + 1 3/5 < -2

x < -18/5

300

x - 0.3 > 1.45

x > 1.75

300

-x < -4

x > 4

300

w/-4 > -1

w<4

400

The veterinarian told Hector that his 8-inch puppy would get no taller than 24 inches.  Write and solve an inequality to find how myuch more his puppy, may grow.

8+x< or = 24

x< or = 16 in

400

2x + 5 > 35

x > 15

400

2x - 6 < 16

x < 11

400

4x > 12

x > 3

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