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Westkost [7]
3 years ago
13

What property is this: 3(5-6)=3x5-3x6 ?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

3(5-6)=3x5-3x6→» <em><u>Distributive property</u></em>

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2= 65

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Which ordered pairs are solutions to the inequality 2x+y&gt;−4?
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we will proceed to resolve each case to determine the solution

we have

2x+y>-4

y>-2x-4

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-12)

Substitute the value of x and y in the inequality

-12>-2*5-4

-12>-14 ------> is True

therefore

the ordered pair (5,-12) is a solution of the inequality

<u>case b)</u> (-3,0)

Substitute the value of x and y in the inequality

0>-2*-3-4

0>2 ------> is False

therefore

the ordered pair (-3,0) is not a solution of the inequality

<u>case c)</u> (-1,-1)

Substitute the value of x and y in the inequality

-1>-2*-1-4

-1>-2 ------> is True

therefore

the ordered pair(-1,-1) is a solution of the inequality

<u>case d)</u> (0,1)

Substitute the value of x and y in the inequality

1>-2*0-4

1>-4 ------> is True

therefore

the ordered pair (0,1) is a solution of the inequality

<u>case e)</u> (4,-12)

Substitute the value of x and y in the inequality

-12>-2*4-4

-12>-12 ------> is False

therefore

the ordered pair (4,-12) is not a solution of the inequality

<u>Verify</u>

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


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