Math

QuestionSolve the inequality for yy: 4x+3y<94x + 3y < 9.

Studdy Solution

STEP 1

Assumptions1. The inequality is 4x+3y<94x +3y <9 . We are solving for yy

STEP 2

First, we need to isolate yy in the inequality. We can do this by subtracting 4x4x from both sides of the inequality.
4x+y4x<94x4x +y -4x <9 -4x

STEP 3

implify the inequality.
3y<9x3y <9 -x

STEP 4

Next, we need to isolate yy by dividing every term by3.
3y3<94x3\frac{3y}{3} < \frac{9 -4x}{3}

STEP 5

implify the inequality to get the solution.
y<34x3y <3 - \frac{4x}{3}So, the solution to the inequality 4x+3y<94x +3y <9 for yy is y<34x3y <3 - \frac{4x}{3}.

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