Answer: x < 1/2 or x < 0.5
The graph is below
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There are two ways to solve this
Method 1
5 - 2x > 4
-2x > 4-5
-2x > -1
x < -1/(-2) .... note the inequality sign flips
x < 1/2
x < 0.5
The inequality sign flips whenever we divide both sides by a negative number.
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Method 2
5 - 2x > 4
5 - 2x+2x > 4+2x
5 > 4+2x
4+2x < 5
2x < 5-4
2x < 1
x < 1/2
x < 0.5
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To graph this on a number line, we'll plot an open hole at 1/2 or 0.5 on the number line. Then we shade to the left to represent all values smaller than 1/2 = 0.5
The open hole signals that 0.5 itself is NOT part of the solution set.
See the diagram below.
Answer:
27
Step-by-step explanation:
Answer:
Volume = 16 unit^3
Step-by-step explanation:
Given:
- Solid lies between planes x = 0 and x = 4.
- The diagonals rum from curves y = sqrt(x) to y = -sqrt(x)
Find:
Determine the Volume bounded.
Solution:
- First we will find the projected area of the solid on the x = 0 plane.
A(x) = 0.5*(diagonal)^2
- Since the diagonal run from y = sqrt(x) to y = -sqrt(x). We have,
A(x) = 0.5*(sqrt(x) + sqrt(x) )^2
A(x) = 0.5*(4x) = 2x
- Using the Area we will integrate int the direction of x from 0 to 4 too get the volume of the solid:
V = integral(A(x)).dx
V = integral(2*x).dx
V = x^2
- Evaluate limits 0 < x < 4:
V= 16 - 0 = 16 unit^3
Answer: 64 years old
Step-by-step explanation:You subtract 2082 by 2018 to get the sum of 64
