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yan [13]
3 years ago
11

Do you prefer to express solutions to inequalities using interval notation or as an inequality ? Do you think it’s important to

know both formats ? How could each be used ?
Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:

I prefer to express solutions to inequalities using interval notation. Both formats are are important but I think interval notation is easier to understand and represents better the solutions.

For example, if you have the following inequation:

x-2> 1

x>3

Therefore, the solution could be written either x>3 OR (3, +inf). But what happens if the solution to the system of equation is x>3 or x<-3? The solution can be easily written as: (-inf, -3) U  (3, inf) instead of 'x>3 or x<-3' which can be confusing.

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Solve for the smallest value of $x$ such that $24x^2 + 17x - 20 = 0.$ Express your answer as a simplified common fraction.
Gala2k [10]
X=5/8 or x=-4/3 
here is the work if needed...
24x^2+17x-20=0
Step one: Factor left side of equation.
(8x-5)(3x-4)=0
Step two: Set factor equal to 0.
8x-5=0 or 3x-4=0
x=5/8 or x=-4/3
4 0
3 years ago
Write <br> 45<br> as a product of prime factors.
Marina CMI [18]
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6 0
3 years ago
2. Find the distance between (-3,2) and (4,8).​
Mkey [24]

Answer:

(7,6)

Step-by-step explanation:

6 0
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What is the likelihood that the children in square 2 will have earlobes that are not attached?
notka56 [123]
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Determine if events A and B are mutually exclusive.
gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

P(A) = \frac{1}{4}

P(B) = \frac{3}{5}

P(A\ or\ B) = \frac{7}{10}

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

P(A\ or\ B) = P(A) + P(B)

So, we have:

P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}

Take LCM

P(A\ or\ B) = \frac{5+12}{20}

P(A\ or\ B) = \frac{17}{20}

By comparing:

P(A\ or\ B) = \frac{17}{20} ---- Calculated

P(A\ or\ B) = \frac{7}{10} ---- Given

We can conclude that A and B are not mutually exclusive because:

\frac{17}{20} \ne \frac{7}{10}

6 0
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