Solve the following inequalities and give the solutions in both set and interval notations. -x/8 + 8/3 ≥ 3

Given:

The inequality is

To find:

The solution for the given inequality in both set and interval notations.

Solution:

We have,

It can be written as

Multiply both sides by -8 and change the inequality sign.

It means all the values of which are less than or equal to are included in the solution set.

Set notation is .

Interval notation is  .

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step-by-step explanation:

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-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.