Question

solve the inequality and graph the solution on the line provided.
-10 + 5x < -40
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: Add 10 to both sides

To isolate the term with \( x \), we add 10 to both sides of the inequality \(-10 + 5x < -40\). This gives us \( -10 + 10 + 5x < -40 + 10 \), which simplifies to \( 5x < -30 \).

Step2: Divide by 5

Next, we divide both sides of the inequality \( 5x < -30 \) by 5. Since 5 is a positive number, the direction of the inequality sign remains the same. So, \( \frac{5x}{5} < \frac{-30}{5} \), which simplifies to \( x < -6 \).

Answer:

Inequality Notation: \( x < -6 \)
For the number line: We place an open circle at -6 (because the inequality is strict, \( < \), not \( \leq \)) and draw an arrow to the left to represent all numbers less than -6.