# Algebra 1 : Writing inequalities

## Example Questions

### Example Question #31 : Writing Inequalities

Write the inequality:  Four less than half a number is less than six.

Explanation:

Break up the sentence into parts.

Half a number:

Four less than half a number:

Is less than six:

Combine the terms to form the inequality.

### Example Question #32 : Writing Inequalities

Write the inequality:  Two less than twice a number is less than a half.

Explanation:

Break up the sentence into parts.  Use a variable for the number.

Twice a number:

Two less than twice a number:

Is less than a half:

Combine the terms.

### Example Question #33 : Writing Inequalities

Write the inequality:  A number squared less than seven is at least eight.

Explanation:

Break up the sentence into parts.

A number squared:

A number squared less than seven:

At least eight:

Combine the terms.

### Example Question #34 : Writing Inequalities

Write the inequality:   Five less than two times a number is no more than four.

Explanation:

Split the sentence into parts.

Two times a number:

Five less than two times a number:

Is no more than four:

Combine the parts.

### Example Question #35 : Writing Inequalities

Write the inequality:  Four less than three times a number is less than four.

Explanation:

Split the sentence into parts.

Three times a number:

Four less than three times a number:

Is less than four:

Combine the parts.

### Example Question #36 : Writing Inequalities

Write the inequality:  Three less than a number is less than five.

Explanation:

Separate the sentence into parts.

Three less than a number:

Is less than five:

Combine the terms.

### Example Question #611 : Grade 7

Write the inequality:  Four less than the quantity of four less than a number is less than four.

Explanation:

We will start this by separating the sentence into parts.  Let the number be any variable.

The quantity of four less than a number:

Four less than the quantity of four less than a number:

Is less than four:

Combine the parts.

### Example Question #38 : Writing Inequalities

Write the inequality:  Two more than twice a number cannot be more than six.

Explanation:

Split the problem statement into parts.

Twice a number:

Two more than twice a number:

Cannot be more than six means that the number can be six, but cannot exceed six.

Combine the parts.

### Example Question #39 : Writing Inequalities

Write the following inequality:  Eight more than the square of a number is less than four.

Explanation:

Split the sentence into parts.

The square of a number:

Eight more than the square of a number:

Is less than four:

Combine the terms.

### Example Question #40 : Writing Inequalities

Write the inequality:  The quantity of six more than a number must be at least four and less than nine.

Explanation:

Break down the sentence into parts.

The quantity of six more than a number:

At least four:

Less than nine:

The inequalities may be combined into one whole.