# Inequalities Exercises

### Example 1

Translate the English sentence into a mathematical equation or inequality as appropriate:

Three y plus seven equals forty-two.

### Example 2

Translate the English sentence into a mathematical equation or inequality as appropriate:

Seven-eighths of x is at most thirty.

### Example 3

Translate the English sentence into a mathematical equation or inequality as appropriate:

Nine is less than y.

### Example 4

Translate the English sentence into a mathematical equation or inequality as appropriate:

Three less than one-fifth of y is eleven.

### Example 5

Translate the English sentence into a mathematical equation or inequality as appropriate:

z minus one is at least negative two.

### Example 6

Translate the English sentence into a mathematical equation or inequality as appropriate:

If we quadruple x and then add four we get eight.

### Example 7

Translate the English sentence into a mathematical equation or inequality as appropriate:

The ratio of x and four is greater than the difference of x and two.

### Example 8

Translate the English sentence into a mathematical equation or inequality as appropriate:

The total of x and five is no more than four.

### Example 9

Translate the English sentence into a mathematical equation or inequality as appropriate:

Three times z yields fifty-one.

### Example 10

Translate the English sentence into a mathematical equation or inequality as appropriate:

x combined with the difference of x and four yields three.