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Solve for $p$ . $\newline$ $4(18 + 12p) < -6(-6p + 6)$ $\newline$ Write your answer with $p$ first, followed by an inequality symbol. $\newline$ ______

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Solve linear inequalities

Full solution

Q. Solve for

p

.

\newline

4(18 + 12p) < -6(-6p + 6)

\newline

Write your answer with

p

first, followed by an inequality symbol.

\newline

______

Combine like terms: Now, let's get all the $p$ terms on one side and the constants on the other. Subtract $36p$ from both sides. $72 + 48p - 36p < 36p - 36p - 36$ $72 + 12p < -36$
Isolate $p$ term: Next, subtract $72$ from both sides to isolate the $p$ term. $\newline$ $72 - 72 + 12p < -36 - 72$ $\newline$ $12p < -108$
Solve for p: Finally, divide both sides by $12$ to solve for $p$ . $\frac{12p}{12} < \frac{-108}{12}$ $p < -9$

More problems from Solve linear inequalities

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Question

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Question

A particular company charges advertisers a one time cost of

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500+4.50M\geq5,000

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4.50+500M>5,000

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Question

7x+1 < x+9

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Question

52-3x < -14

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Which of the following best describes the solutions to the inequality shown?

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1

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Question

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Which of the following best describes the solutions to the inequality shown?

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1

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x < \frac{7}{5}

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Question

Rani is a real estate agent. For each house she sells, she pays

\$ 100

in fees, but earns a commission of

1.8 \%

of the selling price of the house. Rani's total profit from a particular house is

\$ 4,580

p

represents the selling price of the house, which equation best models the situation?

\newline

1

\newline

0.018 p-100=4580

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0.018 p+100=4580

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(100-0.018) p=4580

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(100+0.018) p=4580

Posted 2 months ago

Question

A commercial airplane that is

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500

2

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knots (in the same direction). If

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1

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1

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1,500+690 h=2,500

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1,500+600 h=2,500

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1,500-600 h=2,500

\newline

1,500-690 h=2,500

Posted 1 month ago

Question

A weeping willow that is

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years at a constant rate of

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1

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\newline

1

\newline

35=15+2 y

\newline

35=15+24 y

\newline

35=15-2 y

\newline

35=15-24 y

Posted 4 months ago

Question

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\newline

1

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