Question

solve the inequality.
$\frac{2}{7}>b + \frac{5}{7}$
the solution is .
graph the solution.

Explanation:

Step1: Isolate the variable b

Subtract $\frac{5}{7}$ from both sides of the inequality $\frac{2}{7}>b + \frac{5}{7}$.
$\frac{2}{7}-\frac{5}{7}>b+\frac{5}{7}-\frac{5}{7}$

Step2: Simplify the left - hand side

$\frac{2 - 5}{7}>b$, so $-\frac{3}{7}>b$ or $b<-\frac{3}{7}\approx - 0.43$.

Answer:

$b<-\frac{3}{7}$

The graph of the solution is a number line with an open circle at $-\frac{3}{7}$ (since the inequality is strict, $b$ cannot equal $-\frac{3}{7}$) and an arrow pointing to the left. The open - circle and left - pointing arrow is the third option from the left among the given arrow - circle options.