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Chapter 5: Q. 277 (page 672)

In the following exercises, determine whether each ordered pair is a solution to the system.

y>23x-5x+12y鈮�4a.(6,-4)b.(3,0)

Short Answer

Expert verified

Part (a) The ordered pair is not a solution to the set.

Part (b) The ordered pair is a solution to the set.

Step by step solution

01

Part a. Step 1. Given Information

The given set isy>23x-5x+12y鈮�4and the ordered pair is(6,-4).

02

Part a. Step 2. Substitute the values into the inequalities. 

  • Substitute x=6,y=-4into the first given inequality.

-4>?23(6)-5-4>?4-5-4>-5False

  • Substitute x=6,y=-4into the second inequality.

(6)+12(-4)鈮�?46-2鈮�?44鈮�4true

  • Since the first inequality is not satisfied, the given ordered pair is not a solution to the system.
03

Part b. Step 1. Given Information

The given set isy>23x-5x+12y鈮�4and the ordered set is(3,0).

04

Part b. Step 2. Substitute the values into the inequalities   

  • Substitute x=3,y=0into the first given inequality.

0>?23(3)-50>?2-50>-3true

  • Substitute x=3,y=0into the second given inequality.

3+12(0)鈮�?43+0鈮�?43鈮�4true

  • Since both of the inequalities are satisfied, the given ordered pair is a solution to the system.

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