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Solve for $r$ . $3(r + 7) + 7 < 1$

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Solve advanced linear inequalities

Full solution

Q. Solve for

r

.

3(r + 7) + 7 < 1

Distribute $3$ : question_prompt: Solve for $r$ in the inequality $3(r + 7) + 7 < 1$ .
Combine like terms: Distribute $3$ into $(r + 7)$ . $3(r) + 3(7) + 7 < 1$ .
Add constants: Combine like terms. $3r + 21 + 7 < 1$ .
Subtract $28$ : Add $21$ and $7$ together. $3r + 28 < 1$ .
Calculate difference: Subtract $28$ from both sides to isolate the variable term. $3r < 1 - 28$ .
Divide by $3$ : Calculate $1 - 28$ . $3r < -27$ .
Calculate result: Divide both sides by $3$ to solve for $r$ . $r < -\frac{27}{3}$ .
Calculate result: Divide both sides by $3$ to solve for $r$ . $r < -27 / 3$ . Calculate $-27 / 3$ . $r < -9$ .

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