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# Equations and Inequalities

# Equivalent Inequalities Exercises

### Example 1

For the inequality 6 <* x*, write a different inequality that is equivalent.

### Example 2

For the inequality -3 >* x*, write a different inequality that is equivalent.

### Example 3

For the inequality *x* > -2, write a different inequality that is equivalent.

### Example 4

Write the following statement as an inequality, using < or > as appropriate, and represent the inequality using a number line:

*x* is less than -7.

### Example 5

Write the following statement as an inequality, using < or > as appropriate, and represent the inequality using a number line:

*z* is greater than 6.

### Example 6

Write the following statement as an inequality, using < or > as appropriate, and represent the inequality using a number line:

0.5 is less than *x*.

### Example 7

For the picture, what two equivalent inequalities are represented?

### Example 8

For the picture, what two equivalent inequalities are represented?

### Example 9

For the picture, what two equivalent inequalities are represented?