Question

solve for y and graph the solution.
\\( \frac { 5 y - 8 } { 3 } > 4 \\) or \\( y + 7 < 6 \\)
select the endpoints. select an endpoint to change it from closed to open. select the middle of segment, ray, or line to delete it.
submit

Explanation:

Step1: Solve the first inequality

Multiply both sides of $\frac{5y - 8}{3}>4$ by 3: $5y - 8>12$.
Add 8 to both sides: $5y>20$.
Divide both sides by 5: $y > 4$.

Step2: Solve the second inequality

Subtract 7 from both sides of $y + 7<6$: $y<-1$.

Answer:

The solution is $y < - 1$ or $y>4$. On the number - line, for $y < - 1$, we have an open - circle at $y=-1$ and a ray extending to the left. For $y>4$, we have an open - circle at $y = 4$ and a ray extending to the right.