Solve the following rational inequality: (x / 4x-12) >= (x2 -6 x + 9 / x-3)

Q: Solve the polynomial inequality 6x2 + x > 1 and graph the solution set on a real number line.…

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Q: Solve the polynomial inequality 3x2 + 16x < -5 and graph the solution set on a real number line.…

A: 3x2 + 16x < -5 => 3x2 + 16x + 5 < -5 + 5 => 3x2 + 16x + 5 < 0 => 3x2 + 15x + x + 5…

Q: Solve the rational inequality and write the solution in interval notation. 9/x2+11x+30 < 0

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Q: Explain why the rational inequality 42x+9 1 < 0 has no solution.

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

A: Given  17x-85x-3≤4

Q: Solve the polynomial inequality x3 + 2x2 - x - 2 ≥ 0 and graph the solution set on a real number…

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Q: (x-3)(x+2J

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

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

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Q: Solve the polynomial inequality x3 + 7x2 - x - 7 &lt; 0 and graph the solution set on a real number…

A: Given: Inequality  x 3 + 7 x 2 – x – 7 &lt; 0.   To find: The solution set of given inequality on a…

Q: Solve the polynomial inequality 4x2 + 1 ≥ 4x and graph the solution set on a real number line.…

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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 polynomial inequality x2 ≤ 4x - 2 and graph the solution set on a real number line.…

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Q: Solve the polynomial inequality 9x2 - 6x + 1 &lt; 0 and graph the solution set on a real number…

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Q: Solve the rational inequality and write the solution in interval notation.   -1/10x2  +  11x -6 ≤ 0

A: on solving this we get

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 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 9x2 + 3x - 2 ≥ 0 and graph the solution set on a real number line.…

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Q: Solve the polynomial inequality x2 - 5x + 4 &gt; 0 and graph the solution set on a real number line.…

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Q: Solve the polynomial inequality x3 + x2 + 4x + 4 &gt; 0 and graph the solution set on a real number…

A: we have to solve the given polynomial inequality x3+x2+4x+4&gt;0 and graph the solutions set on real…

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: 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 polynomial inequality x2 - 4x + 3&lt; 0 and graph the solution set on a real number line.…

A: Given inequality is x2-4x+3&lt;0. Solving the given inequality,…

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

A: We have to solve given polynomial inequality -x2+x≥0

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

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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: x-3 x+1

A: Solve the inequality of rational expression by cross multiplication.

Q: Solve the polynomial inequality 2x2 + 3x &gt; 0 and graph the solution set on a real number line.…

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Q: Solve the polynomial inequality x3 + 2x2 - 4x - 8 ≥ 0 and graph the solution set on a real number…

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

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Q: Solve the rational inequality and write the solution in interval notation. 1/3 -6/x2 is less than…

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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: 6 - x 12. Solve the rational inequality x < 2x -5

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Q: |2x 3| > 0 х2 — 2х — 35

A: The solution is given below in the next step:

Q: Solve the polynomial inequality 2x2 + x &lt; 15 and graph the solution set on a real number line.…

A: The given inequality is: 2x2+x&lt;15 To simplify this inequality, transfer the numeral 15 from right…

Q: Solve the rational inequality and write the solution in interval notation. x-7/x+8 ≥ 0

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Q: Solve the polynomial inequality x3 - 3x2 - 9x + 27&lt; 0 and graph the solution set on a real number…

A: We have to solve and graph the solution set on number line for polynomial inequality:…

Q: Solve the rational inequality and write the solution in interval notation.   9/x2 +11x+30 < 0

A: Solution

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.   4/2x2 + x -45 ≥ 0

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Q: Solve the polynomial inequality x3 - 3x2 - 9x + 27 &lt; 0 and graph the solution set on a real…

A: Consider the polynomial inequality x3 − 3x2 − 9x + 27&lt;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: Solve the polynomial inequality x2 - 4x + 3 &lt; 0 and graph the solution set on a real number line.…

A: We have to solve the polynomial inequality and we have to graph the solution set on real number…

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

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Q: Solve the polynomial inequality (x - 7)(x + 3) ≤0 and graph the solution set on a real number line.…

A: x-7x+3≤0 On simplification, we get ⇒x-7≤0  &amp;  x+3≥0  or  x-7≥0  &amp;  x+3≤0⇒x≤7  &amp;  x≥-3…

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

A: To determine the subset of real numbers satisfying the given rational inequality

Q: Solve the rational inequalities.

A: 1) 2x3x+4≤xx+12x(3x+4)-xx+1≤02x(x+1)-x(3x+4)(3x+4)(x+1)2x2+2x-3x2-4xx+13x+4≤ 0-x2-2xx+13x+4≤…