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## Question 6 1 point In chemistry the volume for a certain gas is given by V=25TV=

Question 6
1 point
In chemistry the volume for a certain gas is given by V=25TV=25T, where VV is measured in cc and TT is temperature in °C°C. If the temperature varies between 90°C90°C and 110°C110°C , find the set of volume values.
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
The range of the volume is     cc.
Question 7
1 point
Describe all the xx-values within or including a distance of 44 units from the number 88.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 8
1 point
Write the set in interval notation.
{x|−4<x≤8}x|−42x−3−3x−4x−1+2>2x−3−3x
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 12
1 point
Solve the inequality involving absolute value.
|x−3|+4≥10x−3+4≥10
Enter the exact answer in interval notation.
To enter ∞∞, type infinity. To enter ∪∪, type U.
Question 13
1 point
Solve the compound inequality.
2x−8<−142x−8x−20−3x+4>x−20
Enter the exact answer in interval notation.
Question 20
1 point
Solve the compound inequality.
−5<2x+3≤30−5<2x+3≤30
Enter the exact answer in interval notation. Improper fractions are acceptable in the interval notation.

## (1) The Set A ={11k+8|k∈Z},B={4m|m∈Z}and C = {11(4n + 1) − 3|n ∈ Z} are given. P

(1) The Set A ={11k+8|k∈Z},B={4m|m∈Z}and C = {11(4n + 1) − 3|n ∈ Z} are given.
Prove that A ∩ B = C.
(2) Given f(x) = x3+2×2+x, find the domain, range, behaviour x2 −x−2
of f(x) and hence sketch the graph of the function.
(3) Determine the values of the real parameter m for which the set A = {X ∈ R|(m−1)x2 −(3m+4)x+12m+3 = 0} has:
(a) one element (b) two elements
(c) has no element.

## Add in the blanks in week 1 project. Use Trig Project guidelines for help, it’s

Add in the blanks in week 1 project. Use Trig Project guidelines for help, it’s an example.