Susan C. answered • 12/30/15
Tutor
5
(31)
I love math, and I love to teach it.
Faraz,
Here is what can be done. First of all, if there is an or equal sign on the equality symbol, then the solution points will be included on the lines. Secondly, where all three lines intersect, there is a space where the points work for all three inequalities. Here are some steps:
1. x+y≤9 Solve for "y." Subtract "x" from both sides.
y≤-x+9
2. Graph the line, but since you have a less than or equal sign, place the shadow on and below the solid line.
3. y>x Graph it like you would graph the line y=X+0. The line is dashed because there is no equal sign. Since it says y is great than x, place the shadow above the dashed line.
4. X≥0 Graph this as if you had X=0. This is a solid, vertical line right through the x-axis at X=0. Since it actually says that x is greater than or equal to zero, place the shadow from the X=0 moving towards the right.
5. After you graph all three inequalities, you will find a triangular, shaded area in common to all three inequalities.
6. You can test this area to see if it is right by picking some coordinate points within it. Substitute the x and y values from the coordinates into the inequalities to see if these values work.
If you have any further questions on this problem, just let me know. If I have helped you, please give me a thumbs up.
Susan C.
