# 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.