Solve for j. -8 + 3j < -2 ______

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

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

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Math Problems

Grade 8

Solve two-step inequalities

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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.