Answer:
The solution set would be all real numbers
Step-by-step explanation:
Remember that you should pass from one side to the other the terms which are similar, that is to say x with x and numbers with numbers. In doing so you must be sure to change the sign of the term if it is passed from one side to the other.
In this case it would be:
4x + 7x + 1 < 11x + 2
(Four plus seven is 11)
11x + 1 < 11x + 2
We can see that x is eliminated, because we change the sign on 11 to be -11:
11x - 11x + 1 < 2
1 < 2
This result means that no matter which value we give to x, the inequality will be always true. For that reason the answer is all real numbers
Answer:
b and c
Step-by-step explanation:
Yes,
Every 2 minutes = 3 inches of water, so that means every minute = 1.5 inches of water.
So in 10 minutes:
10*(1.5) = 15 inches of water.
So in 10 minutes the tub will fill an additional 15 inches of water which is exactly how much you need to fill up the remaining tub (3+15 = 18)
Since you cannot add numbers which have x to the power of something and normal x, A and B are incorrect. C is also incorrect because I don't even know how you could get that number.
D is correct.
(14x2 + 7x) + 9x2 - you don't even need the brackets, so
14x2 + 7x + 9x2
(14x2 + 9x2) + 7x
23x2 + 7x
Answers:
-3.5 < 5
|-3.5| < |5|
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Explanation:
Any negative number is <u>always</u> smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.
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The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.
So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.
