Graph the solution set of inequality, where x is a real number on the number line.

Q: Explain how to solve the inequality (x + 1)(x - 2) • (x - 3) > 0.

A: Given: x+1x-2x-3>0 Apply the property ab=0 if and only if a=0 or b=0. x+1=0x=-1 x-2=0x=2…

Q: Find the solution set for the inequality x² + x – 6 > 0 -

A: We need to solve the inequality,

Q: Explain why the inequality x2 - x + 1 6 0 has the emptyset as the solution set.

A: x2-x+1<0 On simplification, we get ⇒x2-x+14+34<0⇒x-122+34<0

Q: Graph the solution set of the inequality 3x +6 <-3 -4 -3 -2-1 4 Clear All Draw:

A: The given inequality  -3x+6&lt;-3

Q: graph the solutions of each compound inequality. x + 1 &gt; 3 and x - 3 &lt; -5

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Q: Find the set of solutions to the inequality (x 2 - 4)(x 2 - 1) &lt; 0 by plotting a graph.

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Q: Write the solution set in interval notation and graph the inequality. Set-Builder Notation: {x|x 2…

A: Given: x/x≥-2 We can write the given set is in the interval form as: [-2,∞) And the graph of the…

Q: solve the inequality x2≥-10x and write the solution set in interval notation

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Q: Write the solution set in interval notation and graph the inequality. Set-Builder Notation: {x|x2-2}…

A: Write the given solution set in interval notation. x|x≥-2=[-2,∞)

Q: graph the solution set for each compound inequality, and express the solution sets in interval…

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Q: Solve the inequality 2x2 + 5x - 3 &lt; 0 and graph the solution set on a real number line.

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Q: Graph the solution to the inequality. -x 2 or 2(x - 1) > 8 2(x+1) > 8 +++++-► -10-8-6 -4 -2 0 2 4 6…

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Q: Solve the inequality. x4 + 3x3 &lt; x + 3

A: Solve inequality x4+x3&lt;x+3 Subtract x+3 both sides. x4+x3-x-3&lt;0

Q: Graph the solution set of the inequality on a number line and then write it in interval notation.…

A: We have to graph the solution set of the inequality on a number line then write in interval…

Q: Solve the compound inequality and graph the solution set.

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Q: Solve the inequality x-5>3 and express your answer in interval notation.

A: Part (a): Given, x-5&gt;3

Q: 21 <3 + 9x ++++ -5-4-3-2-1 0 1 2 3 4 5

A: Given:- 21≤ 3 + 9x To find:- Solve given inequality and graph solution on number line

Q: Solve the inequality 1- 2x x² – 2x – 3 -

A: To solve  1-2xx2-2x-3≥1

Q: Solve for x and graph the solution on the number line below. If possible, resolve your answer to a…

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Q: Graph the solution set of the inequality given. x-y3

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Q: Solve the inequality using a graphing utility : 1/(x + 1) ≤ 2/(x + 4)

A: 1x+1≤2x+4 The graph is,

Q: Solve the linear inequality. 15-9x >-4

A: When adding a constant every side in an inequality, the inequality remains same. When multiplying a…

Q: Solve the inequality and graph the solution set on a number line. 7) x²2x15 <0 8) x + 71 ≥ 0 9)…

A: We can answer the questions as below.

Q: Solve the inequality, (x + 3)/(x - 4) ≤ 5 and graph the solution set on a real number line.

A: Given inequality - x+3x-4≤5x+3 ≤ 5x-4x+3 ≤ 5x-203+20 ≤ 5x-x4x ≥ 23x ≥ 234x ≥ 5.75Hence the value of…

Q: Solve the inequality. x2 - 4x &gt; 0

A: To solve the inequality: x2-4x&gt;0 Solution: Solving the given inequality. x2-4x&gt;0xx-4&gt;0 At…

Q: Solve the inequality (x2 - x - 2)/(x2 - 4x + 3) &gt; 0 and graph the solution set on a real number…

A: x2-x-2x2-4x+3&gt;0⇒x2-x-2&gt;0  &amp;  x2-4x+3&gt;0  or  x2-x-2&lt;0  &amp;…

Q: Graph the solution set of the inequality given. x-y<5

A: Given,          The inequaity is x-y&lt;5 .

Q: Graph the solution to the inequality on the number line. ++2 29

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Q: Solve the inequality, 3/(x + 3) &gt; 3/(x - 2) and graph the solution set on a real number line.

A: To solve the inequality 3x+3&gt;3x-2. Solving the above inequlaity.…

Q: graph the solutions of each compound inequality. 2x + 1 &gt; 3 or 2x + 1 &lt; -3

A: Consider the given inequality, 2x+1&gt;3 or 2x+1&lt;-3 here the objective is to graph the solutions…

Q: Graph the solution to the inequality on the number line. -11-10 -9 -7 -6 -5 -4 -2 -10 1 2 3 4 5 6 7…

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Q: Solve the compound inequality. -3v 6 2v-4 4 or Write the solution in interval notation If there is…

A: The compounded inequality is given by,

Q: Select all the points that are solutions to the inequality -x- 2y > 3. (0.-1.5) (2. -4) (-2, -1)…

A: Given inequality is -x-2y&gt;3 To check the given points in the inequality  (0,-1.5)…

Q: Solve this inequality (solution in graph and interval notation): 3|4x - 5| + 2 ≤ 11

A: 3|4x - 5| + 2 ≤ 11Subtract 2 from both sides3|4x - 5| + 2 -2 ≤ 11-23|4x - 5|≤ 9Divide both sides by…

Q: Solve the inequality.

A:

Q: Explain why the inequality x2 + x + 1 &gt; 0 has all real numbers as the solution set.

A: Given that the statement  Inequality x2 + x + 1 &gt; 0 has all real numbers as the solution set.

Q: Solve the inequality and represent the solution graphically on number line.7. 5x + 1 &gt; – 24, 5x –…

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Q: Solve the inequality & graph on a number line: 5x – 10 > 25

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Q: Solve the inequality: x – 5 > -2

A: NOTE: Refresh your page if you can't see any equations. . add 5 to both sides

Q: Graph the solution to the inequality on the number line.

A: Given inequality |3y+12|&gt;3

Q: Solve, graph, and give interval notation for the inequality: - 12 < 4x – 4 < - 8 + + + -5 -4 -3 -2…

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Q: Solve the inequality | x – 1| <|x + 2].

A: Given inequality is x-1≤x+2

Q: Solve the inequality. (x - 1)(x + 2)(x - 3)(x + 4) ≥ 0

A: The given inequality is x-1x+2x-3x+4≥ 0.

Q: Solve the inequality (x-4)(x-5)(x-8)&lt;0

A: Consider the given inequality

Q: Determine whether the given numbers are solutions of the inequality. x-327; -6, 0, 6, 16

A: We have to determine whether the given numbers are solutions of the inequality x - 3 ≥ 7 ; -6 , 0 ,…

Q: graph the solutions of each compound inequality. x &lt; 2 or x &gt; -1

A: The given compound inequality is, x&lt;2   or    x&gt;-1 The objective is to sketch the solutions of…

Q: graph the solution set for each compound inequality, and express the solution sets in interval…

A: Consider the given compound inequality, x≤4 and x≥-2 Here the objective is to graph the solution of…