Question

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

(15 + 3x < -3)

answer attempt 1 out of 2

(<) (>) (leq) (geq) or

inequality notation: (square)

number line:

number line image from -12 to 12, with click and drag to plot line. below

submit answer

Explanation:

Step1: Subtract 15 from both sides

To isolate the term with \( x \), we subtract 15 from both sides of the inequality \( 15 + 3x < -3 \). This gives us \( 15 + 3x - 15 < -3 - 15 \), which simplifies to \( 3x < -18 \).

Step2: Divide both sides by 3

To solve for \( x \), we divide both sides of the inequality \( 3x < -18 \) by 3. Since 3 is a positive number, the direction of the inequality sign remains the same. So we have \( \frac{3x}{3} < \frac{-18}{3} \), which simplifies to \( x < -6 \).

Answer:

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