Solve the multistep inequality. 4x + 3 < 5x − 6

Mathematics

2 answers:

Ilya [14]3 years ago

6 0

5x-4x = x

3+6 = 9

x= 9

HACTEHA [7]3 years ago

3 0

Answer:

x > 9

Step-by-step explanation:

Isolate the variable, x. Treat the < as an equal sign, what you do to one side, you do to the other.

First, subtract 5x and 3 from both sides of the inequality:

4x (-5x) + 3 (-3) < 5x (-5x) - 6 (-3)

4x - 5x < -6 - 3

-x < -9

Isolate the variable, x. Divide -1 from both sides. Note that when you divide or multiply by a negative number, you must flip the sign:

(-x)/-1 < (-9)/-1

x < -9/-1

x > 9

x > 9 is your answer.

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Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 s

Llana [10]

First, we need to work out the total number of students who were being surveyed.

We know that half of the students has two pets. The rest of the students make up the other half. So, we have 3 students + 2 students + 8 students = 13 students that make half of the sample population

That means total number of students being surveyed is 13+13=26 students

Then we work out the probability
P(One pet) = 8/26 = 4/13
P(Two pets) = 1/2
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P( Four pets) = 2/26 = 1/13

The probability distribution is shown in the table below. Let $x$ be the number of pets and $P(X=x)$ is the probability of owning the number of pets