Answer:
You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:
First, remember how the absolute value works:
IxI = x if x ≥ 0
IxI = -x if x ≤ 0
Then if we have something like:
IxI < B
We can rewrite this as
-B < x < B
Now let's answer the question, here we have the inequality:
I-k -2I < 18
Then we can rewrite this as:
-18 < (-k - 2) < 18
Now let's isolate k:
first, we can add 2 in the 3 parts of the inequality:
-18 + 2 < -k - 2 + 2 < 18 + 2
-16 < -k < 20
Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:
-1*-16 > -1*-k > -1*20
16 > k > -20
Then k can be any value between these two limits.
So the correct options (from the given ones) are:
k = -16
k = -8
k = 0
The equivalent equation is x - 4 = 0.
<h2>Linear system</h2>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
<h3>Simplification</h3>
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is 
.
<h3>To find </h3>
The equivalent equation.
<h3>How to find the equivalent equation.</h3>
The expression is .
On simplifying. we get
The equivalent equation is x - 4 = 0.
More about the linear system link is given below.
brainly.com/question/20379472
Answer:
A
D
Step-by-step explanation:
Answer:
5/6
Explanation:
5 of the sides of the die are not the number 5,
<em>Hence, </em><em>the answer is...</em>
<em>5/6</em>
Answer:
1. Rational
2. Irrational
3. Irrational
4. Rational
5. Irrational
Step-by-step explanation:
Rational numbers are numbers you can identify as the ratio of two integers. Which means they don't go on forever. 1 and 4 are both rational numbers while 2, 3, and 5 are irrational.
