On this week, we learned how to graph Linear inequality. First, we have to check y-intercept and slope. and next, we have to check inequality sign. If any equation has equal sign, we have to draw a solid line, however the equation doesn’t have equal sign, we have to draw broken line. And if we graph the linear inequality, the graph of the equation divides the coordinate plane into two region, and to put the test number into the equation. and if the equation include the part of to include the test number, we have to paint that part.

Ex) Determine whether each point is a solution of the given inequality

4x-3y ≥ 6     A(4,3)       4(4)-3(3) ≥ 6 ->   16-9 ≥ 6   ->   16 ≥ 15    This point is solution.

7y+2x < -10   B(-8,1)     7(1)+2(-8) < -10 ->  7-16 < -10  ->  -9 < -10   This point is not solution

-y+5x ≤ 17     C(2,-7)        -(-7)+5(2) ≤ 17 ->  7+10 ≤ 17 -> 17 ≤ 17  This point is solution

-3x+8y+5 > 0 D(-5,-3)    -3(-5)+8(-3)+5 > 0 ->   20-24 >0 ->  -4 > 0 This point is not solution

Also on this week, we learned how to graph Quadratic inequality. First, we have to find the coordinates of vertex, slope(a), x-intercepts, y-intercept,and direction of opening. And check the inequality sign of the quadratic equation. If the equation has equal sign, we have to draw a solid curve, if the equation doesn’t have equal sign, we have to draw a broken curve. And next, to put the test number into the equation.(Test points can be used to determine which region satisfies the inequality.) And also we have to paint the part of to include the test number.

Ex) To graph Quadratic inequality