Lef 5={x|(x-)(x-3)< of; T= }x| 12x+1)s a) Show s & T on Ore musndn line. 6) Are S& T or cloed on meithn. c) Find infimum and supremiem 7S &TH they exist open

Q: use 'Descartės ruie' of signs +0 determine the possible #s Of @ g(x) = 4x4-lox3-3x 2'+8x+8'…

A:

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

A:

Q: (a) Explain with cases why, if a is a real number,  then a ≤ |a|. (b) Explain, if, for any real…

A:

Q: Let a, b, c and d be distinct real numbers. Show that the equation (x – b) (x – c)(x - d) + (x –…

A: Rolle's theorem:-

Q: Determine all real zeros of f. Ax) = x³ + 4x² – 9x – 36

A:

Q: Find all zeroes of f (x) = 4x* – 3x² – x. Check all that apply. - O A) 1 O B) 2 + i C) _ 2 O D) 2 O…

A: Solving the problem by finding the zeros of the function.

Q: (Зп+5 Find infimum of A |n E N} n+9

A:

Q: Let 7(t) Find (Note that the +C has already been included for you). = + Č Answer preview: <

A:

Q: Prove that if |x-1| < 1, then x² - 2x + 5| < 8.

A:

Q: How many zeros (solutions) does the following quadratic relation have? f(x) = x² + 2x + 2

A:

Q: The domain of g(x) =3/(x - 2)consists of all real numbers except 2,represented in interval notation…

A: To Determine: The domain of g(x) interval notation as (- ∞, 2) ∪________. Given: we have a function…