Question

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

Explanation:

Step1: Subtract \(\frac{5}{7}\) from both sides

$$\frac{2}{7}-\frac{5}{7}>b+\frac{5}{7}-\frac{5}{7}$$

Step2: Simplify the fractions

$$\frac{2 - 5}{7}>b$$
$$-\frac{3}{7}>b$$
which can be written as \(b<-\frac{3}{7}\approx - 0.43\)

Answer:

\(b<-\frac{3}{7}\)

For graphing: Since \(b<-\frac{3}{7}\), we use an open - circle at \(-\frac{3}{7}\) (because the inequality is strict, i.e., \(b\) is not equal to \(-\frac{3}{7}\)) and draw an arrow to the left.