2. Which number is a solution of the inequality? x(7 - x) > 8
A 8
B 2
C-1
D 0

B

Step-by-step explanation:

x * ( 7 - x ) > 8

Substitute the number and if the expression is True then that number is a solution.

A substitute x=8

x * ( 7 - x ) > 8

8 * ( 7 - 8 ) > 8

8 * ( -1 ) > 8

-8 > 8

This statement is FALSE so the number is not a solution of the inequality.

B substitute x=2

x * ( 7 - x ) > 8

2 * ( 7 - 2 ) > 8

2 * ( 5 ) > 8

10 > 8

This statement is True so the number is a solution of the inequality.

C substitute x=-1

x * ( 7 - x ) > 8

-1 * ( 7 - -1 ) > 8

-1 * ( 7 + 1 ) > 8

-8 > 8

This statement is FALSE so the number is not a solution of the inequality.

D substitute x=0

x * ( 7 - x ) > 8

0 * ( 7 - 0 ) > 8

0 * ( 7 ) > 8

0 > 8

This statement is FALSE so the number is not a solution of the inequality.

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this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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