Use the graph of y = f(x) to solve the inequality Use interval notation to express your answer. (a) f(x) > 0 (b) f(x) s 0 y=f(x)

Q: Using the triangle inequality, find the range of the function y = 2+4sin r.

A: Given: y=2+4sinx we know that  sinx∈-1,1

Q: Solve the rational inequality. Write your answer in interval notation. (x + 12)(x – 4) > 0 x - 1

A:

Q: Solve the nonlinear inequality. Express the solution using interval notation. (x – 9)(x + 5) < 0

A:

Q: Solve the inequality by using the graph of the function

A:

Q: Based on the graph, find the set of all x-values for which the points P(x, y) are on the graph and y…

A: To find the set of all x-values for which the points P(x,y) are on the graph and y≥0.

Q: Solve the inequality by using the graph of the function.

A: The given function is f(x)=(x-1)(x+3)2. The inequality f(x)&gt;0 graphically is equivalent to the…

Q: Solve the inequality. Express the answer using interval notation. |x + 4| ≤ 0

A: To solve the inequality:|x+4|≤0

Q: Solve the nonlinear inequality. Express the solution using interval notation. 9 + 1 x + 1

A: Given: x2≥9x+1+1To find the solution using interval notation:

Q: Solve the rational inequality: (x + 5)/(x - 2) &gt; 0 and graph the solution set on a real number…

A: Given data: *The rational inequality is,  x+5x-2&gt;0. A fraction in the form of pq is greater than…

Q: Solve the inequality. Express the answer using interval notation. 1 ≤ |x| ≤ 4

A: Given that the inequality:- 1 ≤ |x| ≤ 4 To solve the inequality and express the answer using…

Q: Solve the rational inequality. Express your answer in interval notation. 4 4 x – 4 x – 2

A:

Q: x2-x+1 &lt;= 0 Solve the Inequality

A: The given inequality is,

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: Solve the inequality. Express the answer using interval notation. x ≤ 5

A: We have to solve the inequality: x≤5 Here x is less than equal to 5. So solution of the inequality…

Q: Solve the rational inequality: (x + 3)/(x + 4) &lt; 0 and graph the solution set on a real number…

A: we have to solve the inequality:  x+3x+4&lt;0x∈-4,-3

Q: How do you solve an inequality (i) algebraically?(ii) graphically?

A: To solve the inequality by  1) Algebraically  2)  Graphically

Q: Solve the inequality. Express the answer using interval notation.

A: Given: 1x+7&gt;2 To Find: To solve the given inequality

Q: Solve the nonlinear inequality. Express the solution using interval notation. x/(x+1)&gt;3x

A: Subtract 3x from both sides and simplify.

Q: Solve the rational inequality: x/x - 3 &gt; 0 and graph the solution set on a real number line.…

A: Given: Rational inequality is: xx-3&gt;0 We have to graph the solution set on a Real line and…

Q: Solve the inequality. Express the solutions in terms of intervals whenever possible: x — х — 2 2 x…

A:

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

A: We have to solve the inequality and we have to express the answer using interval notation: x+1≥1 We…

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

A: Given:  We have given the inequality 23- 12x ≥ 16 + xTo Find: The solution set of the given…

Q: Solve the rational inequality: (x+4)/x &gt; 0 and graph the solution set on a real number line.…

A: Given- x+4x&gt;0 To solve- the above rational inequality and express the solution set in the…

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 inequality by using the graph of the function.

A: Follow the steps to draw the graph of the function f(x)=x(x+2)2. Make a two-column table…

Q: Solve the inequality by using the graph of the function.

A: The given question is taken from the function in which we have to find the intervals that satisfy…

Q: Solve the rational inequality:  (-x - 3)/(x + 2) ≤ 0 and graph the solution set on a real number…

A:

Q: Solve the inequality. Express the answer using interval notation.

A: x-23&lt;2

Q: Using interval notation specify the solution to the followng inequality x² 6) (x-4) > 0 (2x+

A:

Q: Create a polynomial inequality of degree 3 or higher, with the solution x E [- 8,–1]U Sketch a graph…

A: We have to create a polynomial inequality of degree 3 or more, which has solution with x∈-8,…

Q: Solve the nonlinear inequality. Express the solution using interval notation. (x + 8)2(x + 4) > 0

A: the given inequality is x+82x+4&gt;0 rewrite the expression as x+8x+8x+4&gt;0 find the critical…

Q: Solve the nonlinear inequality. Express the solution using interval notation, and graph the solution…

A: An inequality can be solved by isolating the variable by performing the required operations on both…

Q: Solve the linear inequality. Express the solution using interval notation. 1 - 3x s -(1 + 5x)

A:

Q: Use the graph of the function f to solve the inequality f(x) > 0. The solution set for f(x) > 0 is…

A: topic - functions

Q: Solve the inequality algebraically. Express the solution in interval notation. x3-8x2&gt;0

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Q: Solve the linear inequality. Express the solution using interval notation. (-1

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Q: Solve the rational inequality. Write the solution set in interval notation. x+11/x+4&lt;3

A: Subtract 3 from both sides.

Q: Use the graph of the function f to solve the inequality. (a) f(x) < 0 (b) f(x) 20 1 2 3 4 5 -2- (a)…

A:

Q: Solve the nonlinear inequality. Express the solution using interval notation (x - 5)2(x - 6)(x + 3)…

A:

Q: Solve the rational inequality. Write the solution set in interval notation. 8 1 x+2 x+2

A:

Q: Solve the linear inequality. Express the solution using interval notation. 2x ≤ 7

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Q: Solve the inequality. Express the answer using interval notation.

A:

Q: Solve the nonlinear inequality. Express the solution using interval notation. (x + 3)2(x − 2)(x +…

A:

Q: Solve the inequality |æ + 5| > 7. Express your result in interval notation.

A: The given inequality is, x+5&gt;7

Q: Solve the inequality. Express the answer using interval notation. |x| < 5

A: To solve the inequality

Q: Use a graphing device to solve the inequality. Express your answer using interval notation, with the…

A: Solve inequality: 5x4&lt;8x3 with the use of graphing device.   Consider: 5x4&lt;8x3 Subtract -8x3…

Q: Solve Inequality Algebraically. Express final answer using interval Notation. |2-(x/3)|+1&lt;7

A: First we subtract 1 from both sides and remove the absolute function.

Q: Solve the nonlinear inequality. Express the solution using interval notation. x+1+x+4 so Graph the…

A: Please see the below picture for detailed solution.

Q: Solve the nonlinear inequality. Express the solution using interval notation. (x + 9)2(x + 6) &gt;…

A:

Q: Solve the inequality. Express the answer using interval notation. < 3 2

A: Given x-42&lt;3This can be written as -3&lt;x-42&lt;3-6&lt;x-4&lt;6