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Solve for $g$ . $\newline$ $2 - 7g < 9$

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Solve two-step linear inequalities

Full solution

Q. Solve for

g

.

\newline

2 - 7g < 9

Isolate variable term: Isolate the variable term on one side of the inequality. $\newline$ $2 - 7g < 9$ $\newline$ Subtract $2$ from both sides to move the constant term to the right side. $\newline$ $2 - 7g - 2 < 9 - 2$ $\newline$ $-7g < 7$
Subtract constant term: Solve for $g$ by dividing both sides of the inequality by $-7$ . Since we are dividing by a negative number, we must reverse the inequality sign. $-7g / -7 > 7 / -7$ $g > -1$
Solve for $g$ : Check the solution for any mathematical errors. $\newline$ We subtracted $2$ from both sides correctly and divided by $-7$ correctly, also remembering to reverse the inequality sign.

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