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Chapter 5: Q. 386 (page 682)

In the following exercises, solve each system by graphing.

y鈮�鈭�34x+1x鈮�鈭�5

Short Answer

Expert verified

The solution is the area shaded twice which is the darker-shaded region.

Step by step solution

01

Step 1. Given Information

In the given exercises we have to solve given system by graphing.
y鈮�鈭�34x+1x鈮�鈭�5

02

Step 2. Graph y≤−34x+1, by graphing y=−34x+1 and testing a point.

y=鈭�34x+1y+34x=-34x+34x+134x+y=1

The intercepts are x=43 andy=1.

03

Step 3. Test (0,0). It makes the inequality true. So, shade the side that contains (0,0) red.

04

Step 4. Graph x≥−5, by graphing x=−5 and recognizing that it is ahorizontal line through x=−5.

Test (0,0). It makes the inequality true. So, shade (blue) the side that contains (0,0)blue.

05

Step 5. The point (0,0) is in the solution and we have already found it to be a solution of each inequality.

The point of intersection of the two lines is included.

The solution is the area shaded twice which is the darker-shaded region.

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