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6(q+3)+8 >= 2

$6(q+3)+8 \geq 2$

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Solve equations with the distributive property

Full solution

Q.

6(q+3)+8 \geq 2

Distribute and Simplify: First, we need to simplify the inequality by distributing the $6$ to both terms inside the parentheses. $6(q+3)+8 \geq 2$ $6q + 18 + 8 \geq 2$
Combine Like Terms: Next, combine like terms on the left side of the inequality. $6q + 26 \geq 2$
Isolate Variable: Now, we will isolate the variable $q$ by subtracting $26$ from both sides of the inequality. $6q + 26 - 26 \geq 2 - 26$ $6q \geq -24$
Divide and Solve: Finally, divide both sides of the inequality by $6$ to solve for $q$ . $\newline$ $\frac{6q}{6} \geq \frac{-24}{6}$ $\newline$ $q \geq -4$

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