How do I graph the following linear inequality?

x+7>4
y>3/2x-9

1 answer

To graph the linear inequality x + 7 > 4, start by graphing the equation x + 7 = 4, which represents the boundary line of the inequality.

To do this, first, find the y-intercept by substituting x = 0 into the equation:
0 + 7 = 4
7 = 4, which is not true.

Next, find the x-intercept by substituting y = 0 into the equation:
x + 7 = 4
x = -3

Plot the points (0, 7) and (-3, 0) on a coordinate plane and draw a straight line passing through these two points. This line represents the boundary line x + 7 = 4.

Since the inequality is x + 7 > 4, shade the region above the boundary line to represent all the possible values that make this inequality true.
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