Answer:
x ∈ (-∞, -1) ∪ (1, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:
We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
when 
when 
and
is always 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞)
Answer:
The slope is 1
Step-by-step explanation:
the equation y=mx+b represents slope intercept form, and "mx" represents the slope.
the equation can also be written as: y = 1x + 5
Answer: There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Step-by-step explanation: I THINK THATS IS NA CORRECT ANSWER
Answer:
x = 5
Step-by-step explanation:
The given equation is :
2(1+7x)=72
Use the distributive property to the LHS.
2(1)+2(7x) = 72
2+14x = 72
Subtract 2 from both sides.
2+14x-2 = 72-2
14x = 70
x = 70/14
x = 5
So, the answer of the given equation is x = 5.
Answer:
-33
Step-by-step explanation:
-12x + 1 + 9x = 100
-3 x = 99
x = -33
