1. a. Solve the following system of inequality by graphing: (Зх — у + R
1. a. Solve the following system of inequality by graphing: {
3? − ? + ? ≤ ?
2? − ? ≤ 7?
(R is 4, Z is 9)
The given inequalities are:
Substitute :
Rewrite the inequalities:
The first inequality is:
Consider the line .
Find the -intercept of the line by substituting :
Find the -intercept of the line by substituting :
The -intercept is and the intercept is .
The second inequality is:
Consider the line .
Find the -intercept of the line by substituting :
Find the -intercept of the line by substituting :
The -intercept is and the intercept is .
Draw the first line using the intercepts:
.png)
The point satisfy the first inequality , hence is in the region of the first inequality.
.png)
Draw the second line using the intercepts:
.png)
The point does not satisfy the second inequality , hence is not in the region of the second inequality.
.png)
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