How do you graph the inequality #20x-5>35# on the coordinate plane?

1 Answer
Meave60
Jul 16, 2017

Refer to the explanation.

Explanation:

Graph:

#20x-5>35#

Add #5# to both sides.

#20x>40#

Divide both sides by #20#.

#x>2#

The standard form for a linear equation is #Ax+By=C#. The equal sign can be replaced by an inequality symbol. For #x>2#, the standard equation #x+0y>2#. Notice that the coefficient for #y=0#. So, whatever the value for #y# is, it will always be #0#.

Examples

If #y=1#

then #x+(0xx1)>2# is equal to #x>2#.

If #y=10#

then #x+(0xx10)>2# is equal to #x>2#.

The graph will be a dashed straight vertical line where the value for #x# is #2#, and the values for #y# are infinite. The dashed line indicates that the line is not part of the graph. Shade in the area to the right side because #x>2#.

graph{x>2 [-9.905, 10.095, -5.18, 4.82]}

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