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4 votes
Identify the solution to the following inequality: -1/2 (x+3) > x - 3

A. X < 1
B. X > 3
C. X > 1
D. X< 3

2 Answers

12 votes

Answer:

A. x<1

Explanation:

-1/2 (x+3) > x - 3

(-1/2)x-3/2>x-3

Multiply both sides by 2:

-x-3>2x-6

add both sides by 3:

-x-3+3>2x-6+3

-x>2x-3

minus both sides by 2x

-x-2x>2x-2x-3

-3x>-3

x<1

User Herb Caudill
by
8.5k points
6 votes

Answer:

A

Explanation:

-
(1)/(2) (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

User Andrea Reina
by
8.1k points

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