Question

solve the inequality and graph the solution on the line provided. 86 - 4x > 90 answer attempt 1 out of 2 inequality notation: number line: -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 touch and drag to plot line. submit answer

Explanation:

Step1: Subtract 86 from both sides

To isolate the term with \( x \), we start by subtracting 86 from both sides of the inequality \( 86 - 4x > 90 \). This gives us:
\( 86 - 4x - 86 > 90 - 86 \)
Simplifying both sides, we get:
\( -4x > 4 \)

Step2: Divide by -4 (and reverse inequality)

Next, we divide both sides by -4. When dividing an inequality by a negative number, we must reverse the direction of the inequality sign. So, dividing both sides of \( -4x > 4 \) by -4 gives:
\( \frac{-4x}{-4} < \frac{4}{-4} \)
Simplifying both sides, we find:
\( x < -1 \)

Answer:

Inequality Notation: \( x < -1 \)