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Compound Inequalities
By Rebecca Entrekin
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Last updated over 3 years ago
8 questions
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Question 1
1.
Consider the inequality −3<x≤5. Type an integer that is a solution to this inequality.
Question 2
2.
Consider the inequality x<−3 OR x≥5. Which values below would be solutions to this inequality? Select all that apply.
-11
5
-1.2
0
-3.25
-3
Question 3
3.
Solve the inequality -4 ≤ 3x + 2 < 5
Question 4
4.
Solve the inequality -9 < 5 - 7y ≤ 12
Question 5
5.
Solve the inequality 3 ≤ -6 - 5x < 12
Question 6
6.
Write this mathematical sentence using algebra:
6 is added to a number x. Then the result is multiplied by 9. The final answer is greater than 99.
Question 7
7.
Write this mathematical sentence using algebra:
A number z is multiplied by 4. Then 8 is subtracted from the result. The final answer is greater than or equal to 28.
Question 8
8.
Gloria starts with five times as much money as Hamish.
Gloria gives $8 to Hamish, and then Hamish has more money than Gloria.
If Hamish starts with $h, then which of the following is a correct inequality for h?
5h + 8 < h − 8
h + 8 < 5h − 8
5h + 8 > h − 8
h + 8 > 5h − 8