Question

solve the inequality and graph the solution on the line provided.

$7x + 3 \geq 24$

inequality notation:

number line:

Explanation:

Step1: Solve the inequality

Subtract \(8\) from both sides of \(7x + 8\geq29\).
\(7x+8 - 8\geq29 - 8\)
\(7x\geq21\)
Divide both sides by \(7\).
\(x\geq\frac{21}{7}\)
\(x\geq3\)

Step2: Represent on number line

Draw a number line. Put a closed - circle at \(x = 3\) (because the inequality is \(\geq\), so \(x = 3\) is included in the solution set) and shade to the right of \(3\) (since \(x\) is greater than or equal to \(3\)).

Answer:

Inequality notation: \(x\geq3\)
Number line: A closed - circle at \(3\) and shading to the right.