Question

solve for x and graph the solution on the number line below.
5x < 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: Solve the inequality

To solve \(5x < 5\), divide both sides by 5 (since 5 is positive, the inequality sign remains the same). So, \(\frac{5x}{5} < \frac{5}{5}\), which simplifies to \(x < 1\).

Step2: Graph the solution (description)

On the number line, we draw an open circle at \(x = 1\) (because the inequality is \(<\), not \(\leq\)) and shade the region to the left of 1 to represent all values of \(x\) less than 1.

Answer:

Inequality Notation: \(x < 1\)
(For the number line: Open circle at 1, shade left of 1)