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Solve for $b$ . $\newline$ $-7 + -1b \leq -10$

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Solve two-step linear inequalities

Full solution

Q. Solve for

b

.

\newline

-7 + -1b \leq -10

Isolate variable term: Isolate the variable term in $-7 + -1b \leq -10$ . Add $7$ to both sides of the inequality to move the constant term to the right side. $-7 + -1b + 7 \leq -10 + 7$ $-1b \leq -3$
Add $7$ to both sides: Solve for $b$ . $\newline$ Since the coefficient of $b$ is $-1$ , we divide both sides by $-1$ to isolate $b$ . Remember that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign must be reversed. $\newline$ $-1b / -1 \geq -3 / -1$ $\newline$ $b \geq 3$

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