Question

solve the inequality and graph the solution on the line provided. -5 + 7x > -12 answer attempt 1 out of 2 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 5 to both sides

To isolate the term with \( x \), we add 5 to both sides of the inequality \(-5 + 7x > -12\). This gives us \( -5 + 5 + 7x > -12 + 5 \), which simplifies to \( 7x > -7 \).

Step2: Divide by 7

Next, we divide both sides of the inequality \( 7x > -7 \) by 7. Since 7 is positive, the direction of the inequality sign remains the same. So, \( \frac{7x}{7} > \frac{-7}{7} \), which simplifies to \( x > -1 \).

Answer:

Inequality Notation: \( x > -1 \)
(For the number line: Plot an open circle at -1 and draw an arrow to the right to represent all numbers greater than -1.)