Answer:
You would solve this as if the inequality sign was an equal sign.
Just make sure when you divide by a negative or multiply by a negative the sign switches, anyways:
5 + 5(x +4) < 20
Distribute the 5 and simplify
5 + 5x + 20 < 20
25 + 5x < 20
Isolate x (subtract 25 from both sides)
5x < -5
Divide by 5
x < -1
Answer:

Step-by-step explanation:
We are asked to find the value of the indefinite integral
.
Let us solve our given problem applying sum rule as:




Now, we will use power rule.



Therefore, our required integral would be
.
Answer:
z = 5
x = 0
x = 1
Step-by-step explanation:
(z - 5)x^2 - (z - 5)x = 0 Take out z - 5 as a common factor
(z - 5)(x^2 - x) Take out x as a common factor
(z - 5)(x)(x - 1) Any one of these could equal 0. There are 3 solutons.
z - 5 = 0 Add 5 to both sides
z - 5 + 5 = 0 + 5
z = 5
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x = 0
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x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
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