Question

solve and graph the following inequality: 3x - 2 > -14 provide an answer accurate to the nearest tenth. inequality: graph: number line options

Explanation:

Step1: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the inequality \( 3x - 2 > -14 \). This gives us \( 3x - 2 + 2 > -14 + 2 \), which simplifies to \( 3x > -12 \).

Step2: Divide by 3

Next, we divide both sides of the inequality \( 3x > -12 \) by 3 to solve for \( x \). So, \( \frac{3x}{3} > \frac{-12}{3} \), which simplifies to \( x > -4.0 \) (since we need to be accurate to the nearest tenth).

Answer:

\( x > -4.0 \)

For the graph: On a number line, we draw an open circle at \( -4.0 \) (because the inequality is \( > \), not \( \geq \)) and shade the region to the right of \( -4.0 \) to represent all values of \( x \) that satisfy the inequality.