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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 10 Oct 2019, 12:13
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What values of x will satisfy the following inequality?

\(\frac{2x}{3} -12 <\frac{3(2x-7)}{8}\)


A) (-∞, \(\frac{225}{2}\))

B) (\(-\frac{225}{2}\), ∞)

C) (-∞, \(-\frac{225}{2}\))

D) (-75, ∞)

E) (-∞, 75)
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B
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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 10 Oct 2019, 12:21
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2X/3-6X/8<12- 21/8
-2X/24<225/24
-2X<225
-X<225/2
X>-225/2
So, option B

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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 06 Apr 2020, 03:23
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What values of x will satisfy the following inequality?
\(\frac{2x}{3}\)-12<\(\frac{3(2x-7)}{8}\)
A) (-∞, \(\frac{225}{2}\))
B) (-\(\frac{225}{2}\), ∞)
C) (-∞, -\(\frac{225}{2}\))
D) (-75, ∞)
E) (-∞, 75)
Show more

Solution:


    • \(\frac{2x}{3} – 12 < \frac{3(2x -7)}{8}\)
    • \(\frac{2x}{3} -12 < \frac{6x}{8} – \frac{21}{8}\)
    • \(\frac{2x}{3} – \frac{3x}{4} < 12 – \frac{21}{8}\)
    • \(\frac{4*2x – 3*3x}{12} < \frac{96 – 21 }{8}\)
    • \(\frac{8x-9x}{12} < \frac{75}{8}\)
On multiplying both sides by 12, we get
    • \(-x < \frac{75}{8} * 12\)
    • \(-x < \frac{75}{2}*3\)
    • \(-x < \frac{225}{2}\)
On multiplying both sides by -1, we get
    • \(x > - \frac{225}{2}\)
Hence, the correct answer is Option B.
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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 24 May 2020, 09:22
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Asad
What values of x will satisfy the following inequality?
\(\frac{2x}{3}\)-12<\(\frac{3(2x-7)}{8}\)
A) (-∞, \(\frac{225}{2}\))
B) (-\(\frac{225}{2}\), ∞)
C) (-∞, -\(\frac{225}{2}\))
D) (-75, ∞)
E) (-∞, 75)
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Asked: What values of x will satisfy the following inequality?
\(\frac{2x}{3}-12<\frac{3(2x-7)}{8}\)

\(\frac{2x}{3}-12<\frac{3(2x-7)}{8}\)

\(\frac{2x}{3} - 12 < \frac{3x}{4} - \frac{21}{8}\)

\((\frac{3}{4}-\frac{2}{3})x > \frac{21}{8} - 12\)

\(\frac{x}{12} > 3 - \frac{3}{8} - 12 = -9 \frac{3}{8} = - \frac{75}{8}\)

\(x > - \frac{75*12}{8} = - \frac{225}{2}\)

\(x = (\frac{-225}{2}, ∞)\)

IMO B
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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 28 Dec 2020, 02:59
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Bunuel shouldn't the answer be D? Only value that satisfies the equation.
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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 28 Dec 2020, 03:05
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RGautam
Bunuel shouldn't the answer be D? Only value that satisfies the equation.
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What values of x will satisfy the following inequality?

\(\frac{2x}{3} -12 <\frac{3(2x-7)}{8}\) gives \(x > -\frac{225}{2}\) (check the solutions above). \(x > -\frac{225}{2}\) is exactly what option B says: (\(-\frac{225}{2}\), ∞) means x is greater than \(-\frac{225}{2}\)
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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 28 Dec 2020, 03:26
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What values of x will satisfy the following inequality?

\(\frac{2x}{3} -12 <\frac{3(2x-7)}{8}\) gives \(x > -\frac{225}{2}\) (check the solutions above). \(x > -\frac{225}{2}\) is exactly what option B says: ([m]-[fraction]225/2[/fraction

So only x = -75 will satisfy the equation because x= = -225/2 makes this equation = not < Bunuel
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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 28 Dec 2020, 03:39
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What values of x will satisfy the following inequality?

\(\frac{2x}{3} -12 <\frac{3(2x-7)}{8}\) gives \(x > -\frac{225}{2}\) (check the solutions above). \(x > -\frac{225}{2}\) is exactly what option B says: (\(-\frac{225}{2[/fraction\\
\\
So only x = -75 will satisfy the equation because x= = -225/2 makes this equation = not < Bunuel
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\\
\\
([m]-[fraction]225/2}\), ∞) means x is from \(-\frac{225}{2}\) (NOT inclusive) to +∞.
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What values of x will satisfy the following inequality? 2x/3-12<3(2x-7 15 Dec 2025, 04:55
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