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Find the inequality represented by the graph

Find the inequality represented by the graph-example-1

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Answer:

y>4x-2

Explanation:

Looking at the line, we notice:

yyy-intercept is \purpleD{-2}−2start color #7854ab, minus, 2, end color #7854ab

Slope is \dfrac{\Delta y}{\Delta x}=\dfrac{4}{1}=\goldD{4}

Δx

Δy

=

1

4

=4start fraction, delta, y, divided by, delta, x, end fraction, equals, start fraction, 4, divided by, 1, end fraction, equals, start color #e07d10, 4, end color #e07d10

Hint #22 / 4

The slope-intercept form of the inequality is

y~?~\goldD{4}x\purpleD{-2}y ? 4x−2y, space, question mark, space, start color #e07d10, 4, end color #e07d10, x, start color #7854ab, minus, 2, end color #7854ab

where the "?" represents the inequality symbol.

Hint #33 / 4

Notice:

The graph is shaded above (not below), so yyy is greater than the other side of the inequality.

The graph has a dashed line (not solid), so we are not dealing with an "or equal to" inequality.

Therefore, we should use the greater than symbol.

Hint #44 / 4

The answer:

y>4x-2y>4x−2

User Jacob Hulse
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