Question

Which point lies in the solution set for the following system of inequalities?
y > x + 4
y > -x + 2

(1, 6)

(-2, -1)

(-3, 2)

(1, 1)

Answer 1

Try inserting each of the answers since this is multiple choice

Answer 2

A?

Answer 3

let's check if A is the answer or not

Answer 4

if it was, then (1,6) would have to make BOTH inequalities true

y > x + 4

6 > 1 + 4 ... plug in x = 1 and y = 6 since we have the point (1,6)

6 > 5


that much is true, so far so good

let's check the other inequality

y > -x + 2

6 > -1 + 2 ... again plug in x = 1 and y = 6

6 > 1

that's also true

since BOTH inequalities are true when you plug in (1,6), this means (1,6) is in the solution set

There may be other points in the solution set, so check them all

Answer 5

@jim_thompson5910 is awesome.