Solve each inequality. Give the solution set in interval notation...

Question

Solve each inequality. Give the solution set in interval notation. See Example 4. -4≤(x+1)/2≤5

Accepted Answer

Find the solution set for the following inequality express the answer and interval notation, we have negative five, less than or equal to 11 X plus 3/6. That's less than, or equal to six. So to solve this, I'm gonna go ahead and split this up. Let's put this up as a, the five is less than equal to 11 X plus 3/6. And also on the right side, 11 X plus 3/6 is less than equal to six. Now we're gonna go ahead and solve for X For here almost five x 6. one to get negative 30 it's less than, or equal to 11 X plus three. Go ahead. It's track three. We get negative 33 is less than equal to 11 x by 11. We get -3 is less than equal to X. Now, we can check the other side Multiply both sides by six. We get 11 X plus three as less than equal to subtract three. On both sides, we get 11 X is less than equal to 33. Fighting by 11 gives us X is less than equal to three. We cannot combine our two inequalities negative three, less than equal to X, less than equal to three, which now can rewrite as an interval From -3 - three. We have equal signs are inequalities. We will use square brackets as a result. This means the answer to our problem turns out to be answer a okay. Hope to help you solve the problem. Thank you for watching. Goodbye.

Struggling with College Algebra?

Solve each inequality. Give the solution set in interval notation. See Example 4. -4≤(x+1)/2≤5

Watch next

Linear Inequalities practice set