Graph Linear Inequalities

Do Now

Rearrange 4x – y = 3 into slope-intercept form.

Graph it.

Is the point (2, -3) a solution?

Inequality

Much like graphing on a number line, we can graph a linear inequality on a coordinate axis by using the same procedure.

1.  Graph the boundary

2.  Dot (≠) or leave the line solid (=)

3.  Shade (use a testing point)

Graph y > 4x – 3
Is (2, -3) a solution?
Is (2, 5) a solution? / Graph y 4x – 3
Is (2, -3) a solution?
Is (2, 5) a solution?
Graph y < 4x – 3
Is (2, -3) a solution?
Is (2, 5) a solution?
/ Graph y 4x – 3
Is (2, -3) a solution?
Is (2, 5) a solution?

Exercise: Graph each of the following linear inequalities.

1. / x – y < 10 / 2. / y x
3. / y < 2x – 5 / 4. / -6 y
5. / -x + 2y > 10
/ 6. / -2x – 8y 24
7. / Marti sells tacos and burritos from a food truck at the farmer’s market. He sells burritos for $3.50 each, and tacos for $2.00 each. He hopes to earn at least $120 at the farmer’s market this Saturday. Create & graph a linear inequality that represent the solution to this problem. Let b equal the number of burritos that Marti sells and t equal the number of tacos that Marti sells.
Inequality: ______

Name: ______Date: ______

Algebra I CC Exit Ticket

Match each inequality with its graph.

Inequality / 2x – y > 6 / y 2x – 6 / 2x < y + 6 / 2x – 6 y
Graph


Name: ______Date: ______

Algebra I CC HW #23

Lesson Summary
An ordered pair is a solution to a two variable inequality if, when each number is substituted into its corresponding variable, it makes the inequality a true number sentence.
The graph of a linear inequality in the coordinate plane is called a half-plane.

Directions: Graph the solution set in the coordinate plane.

1. / y < -x + 10 / 2. / y ≤ 15x-2
3. / x + 3y 9 / 4. / y > 3x

Review:

5. / Solve and graph 7x – [4x – 3(x – 1)] = x + 12