Question

Solve for x and graph.|35-7x| less then or equal to 70And/Or

Answer 1

$\begin{gathered} \text{Given} \\ |35-7x|\le70 \end{gathered}$

Solving for x

$\begin{gathered} \text{Apply the absolute rule:} \\ \text{If }|u|\le a,a>0,\text{ then }-aCombine the two solutions, the solution for the inequality | 35 - 7x | ≤ 70 is[tex]-5\le x<15$

Using this interval, draw a solid vertical line at x = -5, and x = 15, and shade the interval in between which gives us