(a) Find a number x in the closed interval , such that the sum of the number and its reciprocal is as small as possible. Enter the exact answer. i (b) Find a number x in the closed interval , such that the sum of the number and its reciprocal is as large as possible. Enter the exact answer.

Q: (a) Find a number x in the closed interval2 such that the sum of the number and its reciprocal is as…

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Q: 2x2 + x > 1

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Q: Solve the inequality. Express the answer using interval notation. 1/2 |x| ≥ 1

A: Given: 12x≥1

Q: Solve these inequalities (solutions in graph and interval notation):  5x - 3 > 2(x + 3)

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Q: Current Attempt in Progress (a) Find a number x in the closed interval such that the sum of the…

A: Firstly we need to find the absolute maximum and minimum of s(x) on[3/4,5/4] by using following…

Q: solve the rational inequality 6/(x+4)>=1/(x+4)

A: Given the rational inequality

Q: Solve the polynomial inequality x2 + x - 6 > 0 and graph the solution set on a real number line.…

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Q: Solve the rational inequality and write the solution in interval notation.   6x-1/x-6  ≤ 1

A: Given that: 6x-1x-6≤1

Q: Solve the polynomial inequality (5 - x)2(x -13/2) < 0and graph the solution set on a real number…

A: Given, (5-x)2(x-13/2)<0 To find the solution set of given inequality.

Q: -8(1-x)+x<-(8-6x)+8   Solve the inequality for x

A: The given inequality is,

Q: olve the rational inequality and write the solution in interval notation. 3x/x-3 > 2

A: =>3x>(x-3)*2 => 3x>2x-6 =>3x-2x>6 =>x>6

Q: 7. Solve the inequality x(x + 3)²(x + 1)(x – 2)² > 0. Graph the solution set and write it in…

A: The inequality is given as, xx+32x+1x-22≥0 Since the square of any real number can never be…

Q: <0 Use the inequality in the form f(x) <0, to write the intervals determined by the boundary points…

A: Use the inequality solve the polynomial inequality

Q: Solve the rational inequality and write the solution in interval notation.   2/2x2 +x -45 ≥ 0

A: This is rational inequality then we use AC/middle term splitting method in denominator and find…

Q: Solve the polynomial inequality and express the solution set in interval notation. x2-3x-28 < 0

A: Here we solve the inequalityx2-3x-28 ≤ 0   - (1)Now x2-3x-28 ≤ 0⇒x2-7x+4x-28 ≤0⇒ x(x-7)+4(x-7) ≤ 0⇒…

Q: Solve the inequality. -3x +2 >x- 30 Enter the exact answer in interval notation. To enter oo, type…

A: we can solve the given inequality by adding or subtracting the given terms and solve for x.

Q: Solve the polynomial inequality: 2(x + 12)(x + 11)(x + 10) > 0 Give your answer in interval…

A: this inequality is positive if all are positive or if two is negative and other is positive

Q: Solve the polynomial inequality (x - 4)(x + 2) &gt; 0 and graph the solution set on a real number…

A: The given inequality (x - 4)(x + 2) &gt; 0 .

Q: Solve the inequalities symbolically. Draw the solution on a number line and express the solution set…

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Q: Solve the inequality. Sketch the solution on the real number line and express the solution in…

A: The given inequality is x+12≥2. Solve this inequality  as follows.

Q: Solve the rational inequality and write the solution in interval notation.   8/x-2 ≥ 7/x+1

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Q: 3. Find the solution set and represent it both graphically and in interval notation: -2(x + 5) + 3 <…

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Q: а(4х — 1) Let f(x) Solve the inequality f(x) > 0 which can also be written as = x2 – 1 a(4а — 1) >…

A: The inequality of a function satisfies when the values of x satisfies the given expression.

Q: Solve the polynomial inequality: (x + 12)(x – 1)(x – 9) < 0 Give your answer in interval notation.…

A: Find the zeros of the given inequality.

Q: Solve the rational inequality x +1 > x – 4

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Q: Solve the rational inequality and express the solution set in interval notation. > 2 х — 1 O [1, 2]…

A: We need to solve the following inequality xx-1&gt;2 To evaluate : The solution of the inequality.

Q: (3х + 7)(х — 5) (х — 1)2

A: The given inequality is 3x+7x-5x-12≥0.

Q: 4 - Let R(x): Solve for R(x) < 0. %3D - State your answer using interval notation.

A: Given that  R(x) = (x-4)/(x-6) To solve for  : R(x) ≤ 0

Q: Solve the polynomial inequality: (x - 9)(x – 1)(x – 3) > 0 Give your answer in interval notation.…

A: Topic = Inequality

Q: (a) Find a number x in the closed interval . such that the sum of the number and its reciprocal is…

A: for finding x use second order derivative test.

Q: 8. Sketch the graph of f(x) = x² + 4x + 3 and use it solve the inequality x² + 4x + 3 2 0. Write the…

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Q: Solve the inequalities by interpreting the inequalities as a statement about dis- tances on the real…

A: x+1 shows distance from x to -1 (x+1 = 0, x=-1) and x-3shows distance from x to 3 (x-3=0,x=3).…

Q: Solve the rational inequality and write the solution in interval notation. 9x-1/x-9 ≤ 1

A: The solution of the problem as follows

Q: Solve the polynomial inequality x(4 - x)(x - 6) ≤ 0 and graph the solution set on a real number…

A: We have to find solution set of the inequality as well as graph of inequality: x4-xx-6≤0 Taking -…

Q: Solve the polynomial inequality: (x – 9)(x + 6)(x + 11) < 0 Give your answer in interval notation.…

A: NOTE: Refresh your page if you can't see any equations. . make a table   x&lt;-11 -11&lt;x&lt;-6…

Q: The profit P (in dollars) made by a cinema from selling x bags of popcorn can be modeled by P =…

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Q: Solve the inequality 1/(x + 1) &gt;2/(x - 1)and graph the solution set on a real number line.

A: Given:1x+1&gt;2x-1

Q: the inequality in the interval form x>=5 in interval form is

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Q: Solve the polynomial inequality: (x+1)^2 (x+10) (x−5) < 0

A: Given inequality

Q: 3x+2 > 2x-3 >x-11 provide answer in interval notation

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Q: Let r(x) = -2x %3D X-3 a) Solve the inequality r(x) NO b) Describe the end behavior of r

A: we have to solve the following inequality

Q: solve the inequality and express answer in interval notation (x^2-4x/x+5)>0

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Q: Solve the polynomial inequality (x - 1)(x - 2)(x - 3) ≥ 0 and graph the solution set on a real…

A: Given that x-1x-2x-3≥ 0.

Q: Solve the rational inequality and write the solution in interval notation.   x+1/x-7  ≤ 0

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Q: 6 - x Solve the rational inequality x s 2x – 5'

A: Given x≤6-x2x-5

Q: -4х- 12 20 16. Solve using the interval table. x2 - 25

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Q: Solve the inequality.

A: We have to solve the given inequality 2+11-x≤3x