Answers FL-1200330-Algebra 2 Sem 1 - FlexInequalities

Inequalities Answers

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A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?

m less-than-or-equal-to 17

m greater-than-or-equal-to 17

m less-than-or-equal-to 20.3

m greater-than-or-equal-to 20.3

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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

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 graph represents the solution set of the inequality

A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9.

A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9.

A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9.

A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.

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

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

A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing material weighs 425 pounds, what is the maximum number of palettes of roofing material that the elevator can carry in one trip?

4.5

9.7

Which represents the solution set of

x less-than 12

x greater-than 12

x less-than 16

x greater-than 16

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