Question

solve the inequality and graph the solution on the line provided.
3 + 2x ≥ 5
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
submit answer

Explanation:

Step1: Subtract 3 from both sides

To isolate the term with \( x \), we subtract 3 from both sides of the inequality \( 3 + 2x \geq 5 \). This gives us \( 3 + 2x - 3 \geq 5 - 3 \), which simplifies to \( 2x \geq 2 \).

Step2: Divide by 2

Next, we divide both sides of the inequality \( 2x \geq 2 \) by 2 to solve for \( x \). So, \( \frac{2x}{2} \geq \frac{2}{2} \), which simplifies to \( x \geq 1 \).

Answer:

Inequality Notation: \( x \geq 1 \)
For the number line: Plot a closed circle at 1 (since the inequality is "greater than or equal to") and draw an arrow to the right to represent all numbers greater than or equal to 1.