Question

solve the inequality below (2 point)

4x - 7 ≥ 25

x ≥ □

select the correct graph for the inequality below

x > 24

(1 point)

Explanation:

Step1: Add 7 to both sides

$$4x-7 + 7\geq25 + 7$$
$$4x\geq32$$

Step2: Divide both sides by 4

$$\frac{4x}{4}\geq\frac{32}{4}$$
$$x\geq8$$

For the graph of \(x > 24\):

• A closed - circle is used for \(\geq\) or \(\leq\), and an open - circle is used for \(>\) or \(<\).
• Since \(x>24\), we use an open - circle at \(x = 24\) and the arrow goes to the right (towards larger values of \(x\)).

Answer:

For \(4x-7\geq25\), \(x\geq8\).
For \(x > 24\), the correct graph is the one with an open - circle at \(24\) and the arrow pointing to the right (the second option in the graph choices).