Review Find number of solutions using substitution or linear combinations. 2x – 6y = 5 3x – 9y = 2 Find number of solution using graphing. -2x + 5y = -18
7.6 solving linear inequalities
Information Linear inequality: 2 variables, replace = with inequality sign <, >, ≤, ≥ If dividing by negative number, switches sign 2 Types of graphs 1. < or > = dotted graph 2. ≤ or ≥ = solid graph
Graph-t y < 2 X ≥ -1 Y > x - 2
Graph-t X + 2y ≥ -2 X + 2y ≤ 2
Graph-t X – 2y ≥ 4 2x – y ≥ -2
Graph-st 2x + 2y ≥ -4 -2x – y ≥ 2
Graph-st 4x + 2y ≥ -6 8x + y < 3
Graph-st X ≤ 0 Y ≥ 0 Y ≤ 5 X > -6
Write a system of linear inequalities that defines shaded region - T
Write a system of linear inequalities that defines shaded region - T
Write a system of linear inequalities that defines shaded region - sT
Write a system of linear inequalities that defines shaded region - sT
Wrap up Questions/Comments Hw: text pg. 435, #’s: 9-14, 16-26 evens, 30, 42