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

Question

minus, 13, plus, 2, x, is greater than or equal to, minus, 15
−13+2x≥
−15
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:

Answer 1

To solve the inequality \(-13 + 2x \geq -15\), follow these steps:

1. Isolate the variable \(x\): \[ -13 + 2x \geq -15 \] First, add \(13\) to both sides: \[ 2x \geq -15 + 13 \] Simplifying the right side gives: \[ 2x \geq -2 \]

2. Divide by 2: Now, divide both sides by \(2\): \[ x \geq -1 \]

So the solution to the inequality is: \[ x \geq -1 \]

Inequality Notation:

The solution in inequality notation is: \[ x \geq -1 \]

Number Line Representation:

On a number line, you would represent this as follows:

• Draw a number line.
• Mark the point \(-1\) with a closed dot (because the inequality includes \(-1\)).
• Shade the region to the right of \(-1\) (to indicate all values greater than or equal to \(-1\)).

Here's a simple representation of the number line:

<---|----|-----|-----|-----|-----|-----|-----|-----|---->
    -3   -2    -1    0     1     2     3
             ●------> (shaded to the right)

Where \(-1\) is marked with a closed dot.