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

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

A:

Q: (a) Find a number x in the closed interval 4 such that the sum of the number and its reciprocal is…

A: We will find the value of x for which sum is maximum and minimum as following.

Q: 2x+5 Solve the rational inequality: 1. Leave answer in interval notation.

A: Given.

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

A:

Q: (a) Find a number x in the closed interval [2] such that the sum of the number and its reciprocal is…

A: We need to find x.

Q: 6 - x Solve the rational inequality xS 2r - 5

A: To solve the rational inequality,  x ≤ (6 - x) /(2x - 5)  The above inequality is condition was…

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

A:

Q: Solve the rational inequality. Express your answer in interval notation. 25 5x < x + 4 Answer

A: Solved below

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

A:

Q: Solve the inequalitie using algebra. Give solutions in interval notation.  3x2 + 4x > 15

A: Solve the inequalitie using algebra. Give solutions in interval notation.    3x² + 4x &gt; 15

Q: solve the following rational inequality and write your answer in interval notation (x2-3x-4) /…

A: We have to solve the rational inequality  x2-3x-4x2+6x+9 ≤ 0.

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

A: =&gt;3x&gt;(x-3)*2 =&gt; 3x&gt;2x-6 =&gt;3x-2x&gt;6 =&gt;x&gt;6

Q: Solve the quadratic inequality. Write the solution set in interval notation.    x2 +3x+14 < 0

A: Given,           x2+3x+14&lt;0

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 rational inequality and write the solution in interval notation. x+6 x+4    > 0

A:

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

A: Given: the rational inequality, xx-1&gt;2

Q: 6) Solve the inequality 21x +5x >6 and put your answer in interval notation. 7) Solve for x:…

A:

Q: Solve the inquality and express the answer in interval notation

A: The given inequality is

Q: Solve the rational inequality: (-x + 2)/(x - 4) ≥ 0 and graph the solution set on a real number…

A: Given: Then, If the above condition to be satisfied for (-x + 2)/(x - 4) ≥ 0. The value of 'x'…

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

A:

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution…

A: Given inequality is -x+2x-4≥0 We know that denominator can't be zero. Therefore, x-4≠0⇒x≠4 Finding…

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the…

A: 5x3-x2-4x+4&lt; 0 5x2x3x2-x2x2 + 22-2222&lt; 0…

Q: Solve the inequality algebraically. Express the solution in interval notation. x4-32x2-144&gt;0

A:

Q: Solve this inequality for x : -46 - 8x > 22

A: note: when we multiply or divide negative sign both side in a inequality , the sign of inequality…

Q: 11. Solve the cubic inequality and give your answer in interval notation. -2V2X + 1 < 4 A (-0,-] B…

A: We use mathematical operations to solve this inequality

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the…

A: Given: 2x+5x+1≤1

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

A: We are asked to find the number x in the closed interval 12,32 such that the sum of the number and…

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

A:

Q: Solve the rational inequality. (If your answer is an interval, enter your answer in interval…

A: Part (a) Rational inequality is x-75x+1≤0

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

A: We are entitled to solve only 1 question at a time so I am providing you the same. Kindly repost the…

Q: Graph the intersection of x ≥ -2 and x < 1, and give the solutions in interval notation

A: The given inequality is x≥-2 and x&lt;1.

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 inequality. Express the solution using interval notation and graph the solution set on the…

A: The given inequality, -1 &lt; 2x+5 ≤ 3, is a two-sided inequality, so this inequality can be written…

Q: Solve the inequality and graph. Express your answer in interval notation. 18x + 3 > 3(5x - 1)

A:

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

A:

Q: solve the inequalities by interpreting the inequality as a statement about distances on the real…

A: Given,           x+1&gt;x-3

Q: Solve the rational inequality and write the solution in interval notation.   4/2x2 + x -45 ≥ 0

A:

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

A:

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

A:

Q: Find a second solution on the interval using the short formula and general solution.

A: We have to solve given problem:

Q: 10. Solve the rational inequality х+1 <0. Express your answer using interval notation. X-5

A: We need to solve the inequalityx+1x-5&lt;0The value of the above inequality is undefined at x=5 and…

Q: Solve the rational inequality and write the solution in interval notation.   3x/x-7< 1

A:

Q: Solve the inequality. Express the solution using interval notation and graph the solution set on the…

A: Consider the inequality 2x2≥x+3 to solve this inequality, first bring all the terms to the left side…

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution…

A: Given inequality is 1x-3&lt;1. To solve the given inequality and graph the solution set on a real…