Compound Inequality Graphs

A chef knows that ground beef used for hamburger is safe to eat once it reaches 160 degrees F. For the best taste and safety, he will not allow a hamburger cooked to a temperature under 160 degrees or over 170 degrees to be served.

Which graph represents this situation?

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For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings?

• e ≥ 50 or e ≤ 100

• e > 50 or e < 100

• 50 < e < 100

• 50 ≤ e ≤ 100

Which compound inequality is represented by the graph?

• -2 < x ≤ 4

• -2 ≤ x < 4

• x < -2 or x ≥ 4

• x ≤ -2 or x > 4

Which graph represents the compound inequality?

-3 < n < 1

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Which compound inequality is represented by the graph?

• -3 ≤ g < 1

• -3 < g ≤ 1

• x ≤ -3 or x > 1

• x < -3 or x ≥ 1

Which graph represents the compound inequality?

n < -2 or n ≥ 4

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In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < h < 68 can be used to represent the height range.

Which is another way to write the compound inequality?

• x > 64 or x < 68

• x > 64 and x < 68

• x < 64 and x < 68

• x < 64 or x < 68

Which set of numbers falls within the graph of the compound inequality?

x < 6 or x > 10

• -7, -1.7, 6.1, 10

• -3, 4.5, 13.6, 19

• 0, 6, 9.8, 14

• 8.5, 9.1

The compound inequality 8.00 ≤ x < 9.50 represents all values, x, for which college students are paid hourly as teacher assistants.

What is another way of writing this compound inequality?

• x ≤ 8.00 and x < 9.50

• x ≤ 8.00 or x < 9.50

• x ≥ 8.00 and x < 9.50

• x ≥ 8.00 or x < 9.50

In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm.

Which compound inequality represents the situation?

• r > 4 and r ≤ 4.1

• r > 4 or r ≤ 4.1

• r < 4 and r ≥ 4.1

• r < 4 or r ≥ 4.1