QuestionSolve the compound inequality: and express the solution in interval notation.
Studdy Solution
STEP 1
Assumptions1. The given compound inequality is .
. We need to solve for and express the solution in interval notation.
3. The inequality is a compound inequality, meaning we have two inequalities that are connected.
4. We will use decimal form for numerical values.
STEP 2
First, simplify the fractions on the left and right side of the inequality.
STEP 3
To isolate in the middle of the inequality, we need to multiply all parts of the inequality by2. This will eliminate the denominator of2 in the middle fraction.
STEP 4
Next, subtract2 from all parts of the inequality to isolate .
STEP 5
implify the inequality.
STEP 6
Express the solution in interval notation. In interval notation, we use parentheses to indicate that the endpoint is not included in the interval.
So, the solution to the compound inequality is is greater than0 and less than9, which in interval notation is .
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