Question

solve and graph the following inequality: 1 < -8x + 7
inequality:
graph:
number line options

Explanation:

Step1: Subtract 7 from both sides

$1 - 7 < -8x + 7 - 7$
$-6 < -8x$

Step2: Divide by -8, reverse inequality

$\frac{-6}{-8} > x$
$\frac{3}{4} > x$

Step3: Rewrite for clarity

$x < \frac{3}{4}$

For the graph: Draw a number line, place an open circle at $\frac{3}{4}$ (since the inequality is strict, no equality), and shade all values to the left of $\frac{3}{4}$.

Answer:

Inequality: $x < \frac{3}{4}$
Graph: Open circle at $\frac{3}{4}$, shading to the left on the number line.