Question

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

Explanation:

Step1: Isolate the variable term

To solve \(2x - 2 < 0\), first add 2 to both sides of the inequality. This gives \(2x - 2 + 2 < 0 + 2\), which simplifies to \(2x < 2\).

Step2: Solve for x

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

Answer:

Inequality Notation: \(x < 1\)
For the number line: An open circle is placed at 1 (since the inequality is strict, \(x\) is not equal to 1) and an arrow is drawn to the left of 1 to represent all values of \(x\) less than 1.