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# Equations and Inequalities

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# Inequalities that Allow Equality Exercises

### Example 1

Write the statement as an inequality using ≤ or ≥ as appropriate: 5 is less than or equal to *x*.

### Example 2

Write the statement as an inequality using ≤ or ≥ as appropriate: -10 is greater than or equal to *x*.

### Example 3

Write the statement as an inequality using ≤ or ≥ as appropriate: *y* is at most 3.

### Example 4

Write the statement as an inequality using ≤ or ≥ as appropriate: *z* is at least 1.

### Example 5

For the picture, what two equivalent inequalities are represented?

### Example 6

For the picture, what two equivalent inequalities are represented?

### Example 7

For the picture, what two equivalent inequalities are represented?

### Example 8

For the picture, what two equivalent inequalities are represented?

### Example 9

Fill in the following table. The first row is filled in as an example. Pay careful attention to whether inequalities are strict or relaxed. If strict, maybe offer them a chill pill?