Multiple Select Which of these careers require working in dangerous situations, with hazardous chemicals, and/or taking risks? a
1 answer:
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Answer:
Step-by-step explanation:
So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.
So, we have:
So, what we can do is, for instance, multiply 4 and 2. Subtract that into 11. And then add the difference to 7. Thus:
This is a true number sentence. Let's do it to make sure.
First, do the operations inside the parentheses.
Multiplication comes first, so multiply:
Again, do the parentheses first. Subtract:
Now add:
So our answer is correct :)
They're not equivalent.
(vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).
(square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as
--- it depends on what your textbook/source says).
To solve , you first transform it into the equivalent equation
. Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.
[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so , thus a solution for the second equation is x = 10
The floor of 10.1 is 10, so , thus another solution for the second equation is x = 10.1.
The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.