Inequalities Answers

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Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance?

28 minus 600 w less-than-or-equal-to 300

28 minus 600 w greater-than-or-equal-to 300

600 minus 28 w less-than-or-equal-to 300

600 minus 28 w less-than-or-equal-to 300

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Which represents the solution set of the inequality

x less-than-or-equal-to twelve-fifths

x greater-than-or-equal-to twelve-fifths

x greater-than-or-equal-to 6

x less-than-or-equal-to 6

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson charge more than Ian?

h less-than 2

h greater-than 2

h less-than 5

h greater-than 5

Six times a number is greater than 20 more than that number. What are the possible values of that number?

n less-than 4

n greater-than 4

n greater-than StartFraction 20 Over 7 EndFraction

n less-than StartFraction 20 Over 7 EndFraction

Which values of x satisfy the inequality

x greater-than-or-equal-to 5

x less-than-or-equal-to 5

x less-than-or-equal-to 8

x greater-than-or-equal-to 8

Which graph represents the solution set of the compound inequality ?

A number line goes from negative 10 to positive 10. A closed circle appears at negative 1 and positive 7. The number line is shaded from negative 1 to positive 7.

A number line goes from negative 10 to positive 10. A closed circle appears at negative 7 and positive 1. The number line is shaded from negative 7 to positive 1.

A number line goes from negative 10 to positive 10. A closed circle appears at negative 1. The number line is shaded from negative 1 toward negative 10.

A number line goes from negative 10 to positive 10. A closed circle appears on positive 7. The number line is shaded from positive 7 toward positive 10.

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?

15 h + 9 less-than-or-equal-to 110

15 h + 9 greater-than-or-equal-to 110

9 h + 15 greater-than-or-equal-to 110

9 h + 15 less-than 110

Which represents the solution set of

x less-than 12

x greater-than 12

x less-than 16

x greater-than 16

Which is the solution set of the inequality

y greater-than nine-fifths

y less-than nine-fifths

y less-than 3

y greater-than 3

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

10 weeks

12 weeks

15 weeks

20 weeks

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