Question

solve the inequality and graph the solution.
5(u + 5) - 6 ≤ 4
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Expand the left - hand side

$5(u + 5)-6=5u+25 - 6=5u + 19$. So the inequality becomes $5u+19\leq4$.

Step2: Isolate the variable term

Subtract 19 from both sides: $5u+19 - 19\leq4 - 19$, which simplifies to $5u\leq - 15$.

Step3: Solve for u

Divide both sides by 5: $\frac{5u}{5}\leq\frac{-15}{5}$, so $u\leq - 3$.

Answer:

The solution of the inequality is $u\leq - 3$. On the number - line, we plot a closed circle at $u=-3$ (because the inequality is $\leq$) and draw a ray to the left.