11
AssignmentMultiple Select

Introduction to Compound Inequalities

Question 11 • MOHEGAN - ALGEBRA 1A

Layla deposits at least 25% but no more than 50% of her paycheck into a savings account. If she earns $200 per paycheck, which statements about the amount of money she deposits, s, are true? Check all that apply.25 ≤ s ≤ 5050 ≤ s ≤ 100s ≤ 25 or s ≥ 50s ≤ 50 or s ≥ 100She could deposit $50.She could deposit $75.

Answer
A
25 ≤ s ≤ 50
B
50 ≤ s ≤ 100
C
s ≤ 25 or s ≥ 50
D
s ≤ 50 or s ≥ 100
E
She could deposit $50.
F
She could deposit $75.

Explanation

Layla deposits between 25% and 50% of $200, inclusive. Since 25% of $200 is $50 and 50% is $100, the amount satisfies 50 ≤ s ≤ 100, so statement B is true. She could deposit $50, and she could also deposit $75, which is within that range; therefore E and F are true.

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