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Solve for $n$ . $3n + 4 \leq 10$

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Solve two-step inequalities

Full solution

Q. Solve for

n

.

3n + 4 \leq 10

Isolate term with $n$ : Isolate the term with $n$ . We have the inequality $3n + 4 \leq 10$ . To isolate the term with $n$ , we need to get rid of the constant term on the left side, which is $4$ . We do this by subtracting $4$ from both sides of the inequality. $3n + 4 - 4 \leq 10 - 4$
Simplify both sides: Simplify both sides of the inequality. $\newline$ After subtracting $4$ from both sides, we get: $\newline$ $3n \leq 6$ $\newline$ This simplifies the inequality and keeps the balance, as we have done the same operation to both sides.
Divide by coefficient of $n$ : Divide both sides by the coefficient of $n$ . To solve for $n$ , we need to divide both sides of the inequality by $3$ , which is the coefficient of $n$ . $\frac{3n}{3} \leq \frac{6}{3}$
Solve for n: Solve for n. $\newline$ After dividing both sides by $3$ , we get: $\newline$ $n \leq 2$ $\newline$ This gives us the value of $n$ that satisfies the inequality.

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