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

Q: 1) Solve the following linear inequality for x. Express the solution set as an interval and graph…

A: The given linear inequality is: 5x-7-4<62x-3 To solve this inequality, simplify by shifting the…

Q: 2.Solve the inequality and show its solution sets on the real line

A: Inequality

Q: 10) Solve the following inequality: x-x²-4x +4 a) Show the table with the critical points. b) Give…

A: :Given: 5x³-x²-4x+4<0

Q: How many solutions are there to the inequality Xi+ x2 + x3< 11 where x1, x2, and x3 are nonnegative…

A: Answer:

Q: Solve the following rational inequality algebraically using an interval chart: (x – 2)x+1)*…

A:

Q: b) Determine the possible values of x if -2 +12-10 and illustrate the solution in the form of…

A:

Q: 12) Use the graph of the function to solve the inequality. g(x) < -1

A: To Determine: use the graph of the function to solve the inequality g(x) ≤-1 Given: we have a graph…

Q: 4. Solve the following inequality algebraically. Explain your process. 8x – 3 < 2x +1 < 17x – 8 -

A:

Q: Show that the inequality (x - 2) 2 &gt; 0 has one real number that is not a solution.

A: x-22&gt;0

Q: 2.7 5-67 L t

A:

Q: Solve the following inequality. f(x) = 3x/(3x - 7) is less than or equal to 1

A:

Q: What is the solution (in interval notation) to the following inequality below: 6 < -6 x O [-1,0] O…

A:

Q: Solve the following inequality and represent its solution graphically. 3x/2 + x - 5 ≤ 2x/3 + 2

A:

Q: 1) Use the graph of the function to solve the inequality. C. h(x) < –2 2 -2 -1 -2 -3 "4- "5-

A:

Q: Use the graph of f(x) to solve the inequality. f(x) > 0 Ay 30- 20- 10- イ -6 -4 -2 4 9. -10- -20-…

A: The inequality f(x) &gt; 0 represents the portion of the graph where the function lies above the…

Q: 1. What is the interval notation form of the solution set −1 ≤ x ≤ 4? (x is less than or equal to 4…

A: The given set builder form is {x|a≤x≤b}. It means all real numbers between a and b, including a and…

Q: Solve the following inequality for x:2x2– 2 ≤ 3x

A: Given:

Q: Consider the following inequality:−2x−4&gt;−18Step 1 of 2 : Write the solution using interval…

A: The given inequality is,

Q: What points do not satisfy the inequality 4x^(2)+2x-8=0)?}

A: 1. Given inequality : 4x2+2x-8≤0…

Q: 15. Solve the inequality and write your answer in interval notation. |4.x – 1| < 5

A: We have to solve the problem

Q: 4. True or False The graph of f(x) x-axis for x 3,so the solution set of the inequality 2 0 is…

A: Given information: The inequality is xx-3≥0 Explanation: The rational function is not defined on the…

Q: 5) Determine the solution to the double inequality 28 2(4x +9)-5 (x+7) < 64

A:

Q: Show that the inequality (x - 4)2 s 0 has exactly one solution.

A:

Q: Solve the inequality below and express your answer in interval notation. 3 < 2x + 5 < 13 -1,4 X…

A:

Q: What is the solution (in interval notation) to the following inequality below: 2 (x+4)-3xs 14

A: Given: - The inequality is, 2(x+4)-3x≤14 To find: -The solution of the given inequality (in interval…

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: Suppose g(x) = 3|5x – 2|+ 2. Find all x-values satisfying the inequality g(x) < 10

A: Substitute g(x) with 3|5x-2|+2, in the inequality, g(x)&lt;10 and subtract 2 from both sides of…

Q: Solve the following nonlinear inequality. Give your final answer in interval notation: -9 2.x + 5…

A: Given: 32x+5≤−94x−7

Q: Solve the inequality, and express the solutions in terms of intervals whenever possible.

A:

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: 13.The inequality x* – 5x² + 4 > 0 can be solved by: a. considering all cases b. graphing c. using…

A:

Q: Solve the following linear inequality for x. Express the solution set as an interval and graph it.…

A: Solve by simplifying the inequality

Q: Solve the following radical inequality. r+3-5< 9 ---

A: Explanation of the answer is as follows

Q: Solve the following inequality algebraically. x2 + x – 6 > 0 -

A:

Q: 1. What is the range of values of x for which x(5x-3)<2x(x-4)+2? The set of all solution sets of a…

A:

Q: 4. Solve the following inequality using an algebraic method. 1 <2 X+5

A:

Q: Solve the inequality analytically and write your solution in interval notation. not id+ 2x +1< x² Ad…

A:

Q: Solve the inequality (x – 5)(x – 3) > 0 - Select all the intervals below that are included in the…

A: Explanation: Given that,  (x-5)(x-3)2&gt;0   Firstly we will solve this equation  (x-5)(x-3)2=0…

Q: 8. Solve for x and express your answer in interval notation, set builder notation, and graph your…

A: Given, 2x+3&lt;3x+3

Q: Solve the inequality graphically. In x &gt; x - 2

A: Solution:Given     ln x&gt;x-2

Q: The average reading score of 17​-year-olds on certain tests is given by y=0.198x+244.33 points,…

A:

Q: Solve the following rational inequality > 0. 49 - Give your answer using interval notation.

A: Given rational inequality x-3x2-49&gt;0x-3x2-72&gt;0using a2-b2=(a+b)(a-b)x-3(x-7)(x+7)&gt;0this…

Q: 2) Solve the following rational inequality using the method of test intervals. 1-2x x – 2x -3 |

A: Subtract 1 from both…

Q: x³ < x*

A: Given: x3≤x2 For finding solution of given inequality, we do transportation and simplify it

Q: Solve the following inequality by using a graphical method.   x2 - x - 2 &lt; 0   What is the…

A: The given inequality is x2-x-2&lt;0.The graph is sketched as follows.

Q: 1) Solve the following linear inequality for x. Express the solution set as an interval and graph…

A:

Q: 4. Solve the following inequalities using an algebraic method. -2x+5 > > -2 x+6

A:

Q: Solve the following inequality by using a graphical method. -x^2 + 2x + 1 is greater than or equal…

A:

Q: 3. Solve the following inequalities and represent the solution in interval notation. Show your work!…

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.