how do you graph y > -2

facas9

facas9

Answered question

2021-02-06

how do you graph y > -2

Answer & Explanation

Margot Mill

Margot Mill

Skilled2021-02-07Added 106 answers

A linear inequality's boundary line must be located before it can be graphed. By substituting an equals sign for the inequality sign, the border may be identified.
Replacing the inequality symbol in y>2 with an equals gives y=−2. The boundary line is then a horizontal line passing through −2 on the y-axis.
The boundary line must be graphed as a solid line if the inequality symbol is  or  and graphed as a dashed line is the inequality symbol is > or <.
Since y>2 has > as the inequality symbol, you must then graph y=−2 as a dashed line.
You must then determine where to shade. Since y>2 is stating that y must be BIGGER than −2, you must then shade above the boundary line. This is because all the points above the boundary line have yy-coordinates that are bigger than −2.
The graph is then:

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