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olga55 [171]
2 years ago
7

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

Mathematics
2 answers:
mrs_skeptik [129]2 years ago
8 0

Answer:

A

Step-by-step explanation:

- \frac{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

satela [25.4K]2 years ago
5 0

Answer:

A. x<1

Step-by-step 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

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Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

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This means that P = 600, t = 5, r = 0.02, n = 1. Thus

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This is A(5). So

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