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Which graph represents the inequality y > 3 − x ?

Which graph represents the inequality y > 3 − x ?-example-1
User Someisaac
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To solve this problem you must think in this way.

First we see that function y is greater than 3-x, conclusion is the following

shaded area must be above function. That condition is satisfied by the graph 3 and 4.

Then we write inequality in the slope form y> -x+3.

We see that the coefficient of direction is -1 (negative) which mean that the graph is decreasing. That condition is satisfied by the graph No 4.

The correct answer is graph number 4 ( or D.)

Good luck!!!

User Junaid Farooq
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