Question

solve for ( x ) and graph the solution on the number line below.
( 2 geq \frac{x}{5} )
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Multiply both sides by 5

Multiply each side of the inequality by 5 to isolate $x$.
$$2 \times 5 \geq \frac{x}{5} \times 5$$

Step2: Simplify to solve for $x$

Calculate both sides to get the final inequality.
$$10 \geq x$$
(can also be written as $x \leq 10$)

For the number line:

• Locate 10 on the number line.
• Draw a closed circle at 10 (since the inequality includes equality, $\leq$).
• Shade the region to the left of 10 (all values less than or equal to 10).

Answer:

Inequality Notation: $x \leq 10$
Number Line: Closed circle at 10, shading to the left.