The true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
<h3>What are inequality expressions?</h3>
Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
<h3>How to determine the true expression of the variable x?</h3>
The inequality expression is given as
|8x - 2| < 4
Divide through the above equations by 2
So, we have the following inequality expression
|4x - 1| < 2
Remove the absolute value sign from the inequality expression
So, we have
-2 < 4x - 1 < 2
Add 1 to all sides of the above inequality expression
So, we have
-1 < 4x < 3
Divide through the above inequality expression by 4
So, we have
-0.25 < x < 0.75
Hence, the true expression of the variable x in the inequality expression given as |8x - 2| < 4 is -0.25 < x < 0.75
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24 inches. You could simply multiply by 2. Do you want another solution?
P(A) = 0.993 is the probability of event A
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P(A) is the probability of not A (note that I am trying to place a bar over A. I hope you can see it, else it is because the editor did not show it as I intended)
Then, use the fact that the probability of A plus the probability not A is equal to 1:
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=> P(A) + P(A) = 1
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=> P(A) = 1 - P(A) = 1 - 0.993 = 0.007
So, the answers are:
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1) P(A) = 0.07
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2) Yes, A is unlikely because its probability is very low.
I'll give you a few hints. Area of a rectangle is length times width. We know that length times width is 135 sq ft, so we can express it as:
<span>L * W = 135 </span>
<span>Now, L is 6 feet longer than width (L = 6 + W). Something tells me this is going to involve a quadratic formula then plugging in values into our original equation. </span>
10. 105 in
11.50 m
Explanation:
