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$2x+3\geq 7 \quad \maroonC{\text{ OR }} \quad 2x+9>11$

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Estimate products of mixed numbers

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Q.

2x+3\geq 7 \quad \maroonC{\text{ OR }} \quad 2x+9>11

Solve Inequality $1$ : First, let's solve the inequality $2x + 3 \geq 7$ . $\newline$ Subtract $3$ from both sides to isolate the term with $x$ . $\newline$ $2x + 3 - 3 \geq 7 - 3$ $\newline$ $2x \geq 4$
Isolate x Term: Now, divide both sides by $2$ to solve for $x$ . $\frac{2x}{2} \geq \frac{4}{2}$ $x \geq 2$
Divide by $2$ : Next, let's solve the inequality $2x + 9 > 11$ . Subtract $9$ from both sides to isolate the term with $x$ . $2x + 9 - 9 > 11 - 9$ $2x > 2$
Solve Inequality $2$ : Divide both sides by $2$ to solve for $x$ . $\frac{2x}{2} > \frac{2}{2}$ $x > 1$
Isolate x Term: Now we have two inequalities: $x \geq 2$ or $x > 1$ . Since $x > 1$ is less restrictive than $x \geq 2$ , the solution set is determined by the inequality $x \geq 2$ .

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