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Consider a system of inequalities
Consider inequality in two variable
1. a x + b y ≤ c
2 . p x + q y ≥ r 3. x ≥ 0 4. y≥ 0
By drawing the graph ,You can find the region bounded by inequality 1, then reason bounded by inequality 2 , and then you can find the region common to both the inequality.
Consider the given inequality
x + y ≤2
x + y ≥1,
x≥ 0, y≥0.
You can find the solution below.
So, the Statement, To solve a system of inequalities graphically, you just need to graph each inequality and see which points are in the overlap of the graphs is True.
Given:
To find:
The values of x.
Solution:
We have,
(Distributive property)
(Combining like terms)
Add 28 on both sides.
Subtract 10x from both sides.
Divide both sides by 14.
Therefore, the values of x are all real numbers less than 2, i.e., x<2 .