Define a variable, write an inequality, and solve each problem. Check your solution.

1. Half of a number is at least 14

2. The opposite of 1/3 a number is greater than 9

3. 1/5 of a number is at most 30

Question

Emma Stout

Mathematics

9 October, 09:33

Define a variable, write an inequality, and solve each problem. Check your solution.

1. Half of a number is at least 14

2. The opposite of 1/3 a number is greater than 9

3. 1/5 of a number is at most 30

+2

Answers (1)

Know the Answer?

Salinas · Answer 1

A variable = an unknown number

1. (1/2) x ≥ 14

x ≥ 28

Check:

1/2 (28) ≥ 14

14 ≥ 14

2. - (1/3) x > 9

x < - 27

Check:

- (1/3) (-30) > 9

10 > 9

3. (1/5) x ≤ 30

x ≤ 150

Check:

(1/5) (140) ≤ 30

28 ≤ 30

Define a variable, write an inequality, and solve each problem. Check your solution.1. Half of a number is at least 142. The opposite of 1/3 a number is greater than 93. 1/5 of a number is at most 30

Define a variable, write an inequality, and solve each problem. Check your solution.

1. Half of a number is at least 14

2. The opposite of 1/3 a number is greater than 9

3. 1/5 of a number is at most 30