Question

Graph the solution for the following inequality : -y ="\leq" align="absmiddle" class="latex-formula"> 4x .
Will give brainliest for correct answer.

Answer 1

First I would isolate the "y"/make the "y" positive.

-y ≤ 4x

Divide -1 on both sides (if you multiply or divide by a negative number/variable, you flip the sign [< , > , ≤ , ≥])

y ≥ -4x

You can think of this inequality like the slope intercept form: y=mx + b

"m" is the slope, "b" is the y-intercept(when x = 0). The only difference is that the sign is not an equal sign. The slope is -4, and since you don't have a y-intercept, you start from the origin. So your line is decreasing.

When the sign is ≤ or ≥ ("less/greater than or equal to"), the line is a solid line.

When the sign is < or >, the line is a dotted line.

Based on the inequality, the "y" is greater than or equal to the equation(-4x), so the shaded area is above the line, and the line is solid.

Your answer is A