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Solve for $z$ . $\newline$ $3 < 9 - z$

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Solve two-step inequalities

Full solution

Q. Solve for

z

.

\newline

3 < 9 - z

Isolate $z$ in the inequality: Step $1$ : Start by isolating $z$ in the inequality. $3 < 9 - z$ Subtract $9$ from both sides to isolate the term with $z$ . $3 - 9 < -z$ $-6 < -z$
Multiply by $-1$ to solve: Step $2$ : Multiply both sides by $-1$ to solve for $z$ . Remember to flip the inequality sign because we are multiplying by a negative number. $\newline$ $-1(-6) > -1(-z)$ $\newline$ $6 > z$

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