Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $b$ . $\newline$ $7 < b + 19 < 15$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $-12 < b \leq -4$ $\newline$ (B) $b < -12$ or $b > -4$ $\newline$ (C) $-12 < b < -4$ $\newline$ (D) $b < -12$ or $b \geq -4$

View step-by-step help

View step-by-step help

Solve compound inequalities

Full solution

Q. Solve for

b

.

\newline

7 < b + 19 < 15

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

-12 < b \leq -4

\newline

(B)

b < -12

or

b > -4

\newline

(C)

-12 < b < -4

\newline

(D)

b < -12

or

b \geq -4

Analyze Compound Inequality: Analyze the given compound inequality $7 < b + 19 < 15$ . Which operation should we use to isolate $b$ ? In $b + 19$ , $19$ is being added to $b$ . Subtraction should be used to isolate $b$ .
Subtract $19$ to Isolate: Subtract $19$ from all parts of the inequality to solve for $b$ . $7 < b + 19 < 15$ $7 - 19 < b + 19 - 19 < 15 - 19$ $-12 < b < -4$
Check Solution: Check the solution to ensure it makes sense. $\newline$ If $b$ is $-12$ , then $b + 19$ would be $7$ , which is not strictly greater than $7$ , so $b$ must be greater than $-12$ . $\newline$ If $b$ is $-4$ , then $b + 19$ would be $-12$ $0$ , which is not strictly less than $-12$ $0$ , so $b$ must be less than $-4$ . $\newline$ The solution $-12$ $4$ satisfies the original inequality.

More problems from Solve compound inequalities

Question

-2 x+b y=59

\newline

5 x-y=1

\newline

If the system of equations has exactly one solution

(x, y)

x=2

, what is the value of

b

Posted 2 months ago

Question

\newline

\frac{\sqrt[3]{2}}{\sqrt[3]{-128}}=

Posted 6 days ago

Question

\newline

\frac{\sqrt[4]{2}}{\sqrt[4]{162}}=

Posted 3 months ago

Question

\newline

\sqrt[5]{-16} \cdot 2^{\frac{1}{5}}=

Posted 2 months ago

Question

y

\newline

\begin{array}{l} \frac{y-1}{3 y+7}=\frac{1}{10} \\ y=\square \end{array}

Posted 3 months ago

Question

x

\newline

Your answer must be simplified.

\newline

-30<\frac{x}{-4}

Posted 2 months ago

Question

x

\newline

Your answer must be simplified.

\newline

-36+x<8

Posted 2 months ago

Question

x

\newline

Your answer must be simplified.

\newline

2 x<15

Posted 3 months ago

Question

x

\newline

Your answer must be simplified.

\newline

x-6 \leq 3

Posted 1 month ago

Question

x

\newline

Your answer must be simplified.

\newline

7>\frac{x}{4}

Posted 3 months ago