How do you spot an inequality? Keep an eye out for questions with greater-than or less-than symbols, or with graphs that show a number line with an arrow.

## Practice questions

- Given
solve for

*x*. - Three-fifths of a number is less than five less than the same number. Choose the graph that represents this expression.

## Answers and explanations

- The correct answer is
**Choice (D).**Solve each inequality separately. Here's the first one:

And here's the second:

Therefore,

*x*< 3 and*x*< 7. Combine the ranges to arrive at the answer, which is*x*< 3. - The correct answer is
**Choice (C).**Don't get mixed up on the two instances of "less than" in this word problem. Create an inequality that looks like this, letting

*x*represent the number you don't know, and then solve. Don't forget to reverse the inequality sign whenever you multiply or divide both sides by a negative number.Your graph will look like this: