6.7

Jimmy Nguyen Pd. 7 6.7 __**Graph Linear Inequalities in 2 Variables**__

__Problem # 1__
x + y< -4 ; (0,0) 0+0< -4 0<-4

__Solution for Problem # 1__
0<-4 On a coordinate plane, use a dashed line, graph x+y< -4 on the left side (0,0) and shade on the rights side of the shaded line.

__Problem # 2__
0.5y- 0.5x> 3.5 ; (6, 2)

__**6.7**__ Shea MacDonald Problem 1: 19) y< 3x+5

Solution for problem 1: y< 3x+5 y< 3x+5 (0,0) 0< 3 x 0 + 5 0< 5 Problem 2: 3//x// + 4//y __>__// 7 3x+4y>7 (2,1) (1,6) 3x3+4x1__>__ 7 3x1+4x6>7 9+4>7 3+24>7 13__>__7 27>7 Tasia Hamilton pd.3 __**Main Ideas:**__ Step 1 ~ Graph the boundary line. Use a dashed line for, and use a solid line for greater than or equal to or less than or equal to. Step 2 ~ Test a point by checking whether the ordered pair is a solution of the inequality. Step 3 ~ shade the half-plane containing the point if the ordered pair is a solution of the inequality. Shade the other half-plane if the ordered pair is not a solution.
 * First you find a solution for y:
 * yes this is true 5 is greater then 0.
 * Both are true. (2,1) and (1,6)

__**Problem1:**__ Graph the inequality y>4x-3.

**__Solution:__** Step 1~ graph the equation y=4x-3. The inequality is > so use a dashed line. Step 2~ Test (0,0) in y>4x-3 0>4(0)-3 0>-3 yes Step 3~ Shade the half-plane that contains (0,0), because (0,0) is a solution of the inequality.

__**Problem2:**__ Graph the inequality x+2y greater than or equal to 0

__**Solution:**__

Moustafa Hassan: Main ideas: A solution of an inequality in two variables x and y is an ordered pair (x,y) that produces a true statement when the values of x and y are subsituted into the inequality.

Problem #1: Which ordered pair is not a solution of x-3y is less to or equal to 6. A: (0,0), B: (6,-1), C: (10,3), D: (-1,2)

Solution for problem # 1: x-3y is lesws than or equal to 6 0-3(0) is less than or equal to 6 0 is less than or equal to 6 CORRECT

x-3y is less than or equal to 6 6-3 (-1) is less than or equal to 6 9 is less than or equal to 6 WRONG

Problem # 2: Graph a linear inequality in 2 variables. Graph the inequality y is greater than 4 x-3.w