Problem

P.2 Linear inequalities: solve for $y$ UYU Write the following inequality in slope-intercept form. \[ 20 x+6 y \leq 3 \] Write your answer with y first, followed by an inequalit) fractions, and improper fractions in simplest form.

Solution

Step 1 :The given inequality is in the standard form of a linear equation. To solve for y, we need to isolate y on one side of the inequality. This involves subtracting 20x from both sides and then dividing by 6.

Step 2 :The inequality in slope-intercept form is \(y \leq \frac{1}{2} - \frac{10x}{3}\).

Step 3 :Final Answer: The inequality in slope-intercept form is \(\boxed{y \leq \frac{1}{2} - \frac{10x}{3}}\).

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