{x|x is a natural number and 20

Q: d) Prove that −1 < x < 0 implies that |x³ − 2x + 1| < 1.26|x − 1].

A:

Q: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

A:

Q: Prove that if a,b belong R(Real Numbers) then |a|-|b| is lesser or equals to |a-b|

A:

Q: If 50 f(x) dx exists, then f(x) da exists for every real number b> a

A:

Q: If 4x − 2x² <f(x) <x² - 2x +3 for - all real numbers except for x=1, then

A: We have to solve given Questions.

Q: Let S = {-5,-1,0,2/3,5/6,1,sqrt(6),4,5} Determine which elements of S satisfy the inequality.…

A:

Q: 9. Prove or disprove: The inequality 2 ≥ x + 1 is true for all positive real numbers x.

A:

Q: b. {r|x € N and 7 <x< 14}

A: Given,  x|x∈ℕ and 7≤x≤14

Q: Suppose that x is a negative real number and that x < 1/x. Prove that x < 1.

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider the following predicates defined on the domain of all real numbers. P(x): "x is positive"…

A: In mathematical reasoning, DeMorgan's law is very important. It is used in the case of compound…

Q: The set of real numbers in interval notation is represented by

A: The set of real numbers in interval notation is represented by ℝ=-∞,∞.  Interval: An interval  a,b…

Q: prove for every positive real number x that 1+1/x2>=1/x+1/x3.

A: To prove: 1+1x2≥1x+1x3; for everypositive real number x.