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Lesechka [4]
3 years ago
12

which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x? distribute –4 to get –8x 4 > 5 – 3x. distribu

te –4 to get –8x – 1 > 5 – 3x. subtract 2x from both sides of the inequality. add 1 to both sides of the inequality.
Mathematics
2 answers:
dolphi86 [110]3 years ago
8 0
Distribute -4 in this way:

-4(2x) - 4(-1) > 5 - 3x, to get

- 8x + 4 > 5 - 3x
makkiz [27]3 years ago
3 0

Answer:

A correct first step in solving the inequality –4(2x – 1) > 5 – 3x is:

distribute –4 to get –8x +4 > 5 – 3x

Step-by-step explanation:

We have to solve the inequality:

-4(2x-1)>5-3x

Distributing -4 , we get:

-4×2x-4×(-1)>5-3x

-8x+4>5-3x

Hence, a correct first step in solving the inequality –4(2x – 1) > 5 – 3x is:

distribute –4 to get –8x +4 > 5 – 3x

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Given:

A six-sided die is rolled two times.

To find:

The theoretical fractional probability that the first number is greater than the second number.

Solution:

If a six-sided die is rolled two times, then the total possible outcomes are 36.

S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

The outcomes where the first number is greater than the second number are

A = {(2,1), (3,1), (3,2), (4,1), (4,2), (4,3), (5,1), (5,2), (5,3), (5,4), (6,1), (6,2), (6,3), (6,4), (6,5)}

So, the favorable outcomes = 15.

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Probability=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Probability=\dfrac{15}{36}

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Therefore, the required probability is \dfrac{5}{12}.

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