QuestionSolve for in the inequality: . Write as "h inequality".
Studdy Solution
STEP 1
Assumptions1. The problem is a linear inequality in one variable, .
. The inequality is .
3. We are solving for .
STEP 2
First, we need to simplify the inequality by combining like terms on both sides.
On the left side, we combine and to get .
On the right side, we have .
So, the simplified inequality is
STEP 3
Next, we need to isolate terms on one side of the inequality and constant terms on the other side.
Let's add to both sides of the inequality to move all terms to the left side.
STEP 4
implify the left side of the inequality by combining and to get .
STEP 5
Now, let's isolate by moving the constant term to the right side of the inequality.
We do this by adding $$ to both sides of the inequality.
STEP 6
implify the right side of the inequality by adding and to get .
STEP 7
Finally, to solve for , we divide both sides of the inequality by .
STEP 8
implify the right side of the inequality by dividing by to get .
So, the solution to the inequality is .
Was this helpful?