Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $j$ . $\newline$ $-8 + 3j < -2$

View step-by-step help

View step-by-step help

Solve two-step inequalities

Full solution

Q. Solve for

j

.

\newline

-8 + 3j < -2

Isolate variable term: Isolate the variable term on one side of the inequality. $\newline$ To do this, we will add $8$ to both sides of the inequality to cancel out the $-8$ on the left side. $\newline$ $-8 + 3j + 8 < -2 + 8$ $\newline$ This simplifies to: $\newline$ $3j < 6$
Divide by coefficient: Divide both sides of the inequality by the coefficient of $j$ to solve for $j$ . To isolate $j$ , we divide both sides by $3$ . $\frac{3j}{3} < \frac{6}{3}$ This simplifies to: $j < 2$
Check solution: Check the solution to ensure it makes sense. $\newline$ If we substitute a value for $j$ that is less than $2$ into the original inequality, it should make the inequality true. $\newline$ Let's test $j = 1$ : $\newline$ $-8 + 3(1) < -2$ $\newline$ $-8 + 3 < -2$ $\newline$ $-5 < -2$ $\newline$ This is true, so our solution seems to be correct.

More problems from Solve two-step inequalities

Question

w

\newline

\frac{w}{-1} + 7 > 9

\newline

Posted 2 months ago

Question

u

\newline

6.4u < 3.84 + 6.8u

\newline

\newline

Write your answer with

u

first, followed by an inequality symbol.

\newline

\newline

Posted 2 months ago

Question

t

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

12t - 2 < -5t + 36

Posted 2 months ago

Question

m

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

8m + 95 < -87m + 5

Posted 4 months ago

Question

r

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

35r-21 < -35r+19

Posted 4 months ago

Question

x

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

54x + 64 \geq 49x + 59

Posted 4 months ago

Question

w

.\ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

53w+13 < 56w+16

Posted 4 months ago

Question

p

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-7p - 4 > 26p - 94

Posted 4 months ago

Question

d

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-23d + 81 \leq -98d + 1

Posted 4 months ago

Question

b

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

30b + 53 \geq 18b - 83

Posted 4 months ago