QuestionFind the largest integer $p$ such that $2p + 4 \leq 35$ . A. 5 B. 6 C. 15 D. 16 E. 30

Studdy Solution

STEP 1

Assumptions1. The product of and an integer $p$ is increased by4. The result is less than or equal to353. We are looking for the largest possible value for $p$

STEP 2

First, we need to write down the inequality according to the problem statement.
$2p +4 \leq35$

STEP 3

To isolate $p$ , we first need to subtract from both sides of the inequality.
$2p + - \leq35 -$

STEP 4

implify the inequality.
$2p \leq31$

STEP 5

Next, we divide both sides of the inequality by2 to solve for $p$ .
$\frac{2p}{2} \leq \frac{31}{2}$

STEP 6

implify the inequality.
$p \leq15.5$

STEP 7

Since $p$ must be an integer, we take the largest integer less than or equal to15.5, which is15.
So, the largest possible value for $p$ is15. Therefore, the correct answer is C.15.

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QuestionFind the largest integer $p$ such that $2p + 4 \leq 35$ . A. 5 B. 6 C. 15 D. 16 E. 30

Studdy Solution

STEP 1

Assumptions1. The product of and an integer $p$ is increased by4. The result is less than or equal to353. We are looking for the largest possible value for $p$

STEP 2

First, we need to write down the inequality according to the problem statement.
$2p +4 \leq35$

STEP 3

To isolate $p$ , we first need to subtract from both sides of the inequality.
$2p + - \leq35 -$

STEP 4

implify the inequality.
$2p \leq31$

STEP 5

Next, we divide both sides of the inequality by2 to solve for $p$ .
$\frac{2p}{2} \leq \frac{31}{2}$

STEP 6

implify the inequality.
$p \leq15.5$

STEP 7

Since $p$ must be an integer, we take the largest integer less than or equal to15.5, which is15.
So, the largest possible value for $p$ is15. Therefore, the correct answer is C.15.

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QuestionFind the largest integer ppp such that 2p+4≤352p + 4 \leq 352p+4≤35. A. 5 B. 6 C. 15 D. 16 E. 30

Studdy Solution

STEP 1

Assumptions1. The product of and an integer ppp is increased by4. The result is less than or equal to353. We are looking for the largest possible value for ppp

STEP 2

First, we need to write down the inequality according to the problem statement.2p+4≤352p +4 \leq352p+4≤35

STEP 3

To isolate ppp, we first need to subtract from both sides of the inequality.2p+−≤35−2p + - \leq35 -2p+−≤35−

STEP 4

implify the inequality.2p≤312p \leq312p≤31

STEP 5

Next, we divide both sides of the inequality by2 to solve for ppp.2p2≤312\frac{2p}{2} \leq \frac{31}{2}22p​≤231​

STEP 6

implify the inequality.p≤15.5p \leq15.5p≤15.5

STEP 7

Since ppp must be an integer, we take the largest integer less than or equal to15.5, which is15.So, the largest possible value for ppp is15. Therefore, the correct answer is C.15.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the largest integer $p$ such that $2p + 4 \leq 35$ . A. 5 B. 6 C. 15 D. 16 E. 30

Assumptions1. The product of and an integer $p$ is increased by4. The result is less than or equal to353. We are looking for the largest possible value for $p$

First, we need to write down the inequality according to the problem statement.
$2p +4 \leq35$

To isolate $p$ , we first need to subtract from both sides of the inequality.
$2p + - \leq35 -$

implify the inequality.
$2p \leq31$

Next, we divide both sides of the inequality by2 to solve for $p$ .
$\frac{2p}{2} \leq \frac{31}{2}$

implify the inequality.
$p \leq15.5$

Since $p$ must be an integer, we take the largest integer less than or equal to15.5, which is15.
So, the largest possible value for $p$ is15. Therefore, the correct answer is C.15.