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45 votes
Which graph represents the inequality y < 2x +3 correctly

Which graph represents the inequality y < 2x +3 correctly-example-1
User MDe
by
2.8k points

2 Answers

21 votes
21 votes

Answer:

im not sure , sorry

Explanation:

User Tvsbrent
by
3.3k points
6 votes
6 votes

Answer:

Option C

Explanation:

Graphing inequality:

1) First plot y = 2x + 3 as a dotted line as y is less than x

Put x = 0, y = 2*0 +3 = 0 + 3 = 3 ⇒ (0, 3)

Put x = 1 , y = 2*1 + 3 = 2 +3 = 5 ⇒(1 , 5)

Put x = -1, y =2*(-1)+3 ⇒ -2+3 = 1 ⇒ (-1,1)

Mark these three points, and draw a dotted line.

2) Shade the area bellow the dotted line as y < 2x + 3

Check: take a point in the shaded area. (1 , -1)

-1 < 2*1 + 3

-1 < 2 +3

-1 < 5

The condition is satisfied.

User Xkynar
by
3.0k points