Math

Question Solve the linear inequality 3x+8>11-3x + 8 > 11 to find the values of xx that satisfy the inequality.

Studdy Solution

STEP 1

Assumptions1. The inequality is 3x+8>11-3x +8 >11 . We are solving for xx

STEP 2

First, we need to isolate the term with xx on one side of the inequality. We can do this by subtracting8 from both sides of the inequality.
x+88>118-x +8 -8 >11 -8

STEP 3

implify the inequality.
3x>118-3x >11 -83x>3-3x >3

STEP 4

Now, we need to isolate xx by dividing both sides of the inequality by 3-3. Remember, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
3x/3<3/3-3x / -3 <3 / -3

STEP 5

implify the inequality.
x<3/3x <3 / -3x<1x < -1So, the solution to the inequality 3x+8>11-3x +8 >11 is x<1x < -1.

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