QuestionSolve the compound inequality and give the answer in interval notation.
Studdy Solution
STEP 1
Assumptions1. The compound inequality is given as . We need to solve for and express the solution in interval notation3. We will use decimal form for any fractions
STEP 2
First, we simplify the fractions on the left and right side of the inequality.
So, the inequality becomes
STEP 3
Next, we multiply all parts of the inequality by to eliminate the denominator in the middle fraction.
STEP 4
Calculate the multiplication to simplify the inequality.
STEP 5
Now, we subtract8 from all parts of the inequality to solve for .
STEP 6
Calculate the subtraction to get the final inequality.
STEP 7
Express the solution in interval notation. In interval notation, the solution is represented as an interval from the smallest to the largest value that can take. Parentheses are used to indicate that the endpoint values are not included in the solution.
So, the solution in interval notation isThis means can take any value between -2 and2, not including -2 and2.
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