Solve the following inequation and find the cardinality of the solution set- 2 x -3-3-3 x -1-4 where x is positive even integer-A- 7B- 8C- 5D- 6

The correct option is A 7 We have (2x + 3)4 ≥ (3x 1)3 8x + 12 ≥ 9x – 3 15 ≥ x ∴ x ≤ 15 So, x ϵ2, 4, 6, 8, 10, 12, 14 Hence the cardinality of the solutio ...

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Standard X

Mathematics

Roots of Quadratic Equation

Solve the fol...

Question

Solve the following inequation and find the cardinality of the solution set.

$\frac{2 x + 3}{3} \geq \frac{3 x - 1}{4}$ where x is positive even integer.

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Solution

The correct option is B
7

We have

(2x + 3)4 $\geq$ (3x - 1)3

8x + 12 $\geq$ 9x – 3

15 $\geq$ x

$∴$ x $\leq$ 15

So, x $ϵ$ {2, 4, 6, 8, 10, 12, 14}

Hence the cardinality of the solution set = 7

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Solve the following inequation and find the cardinality of the solution set. 2x+33≥ 3x−14 where x is positive even integer.

The correct option is B 7 We have (2x + 3)4 ≥ (3x - 1)3 8x + 12 ≥ 9x – 3 15 ≥ x ∴ x ≤ 15 So, x ϵ{2, 4, 6, 8, 10, 12, 14} Hence the cardinality of the solution set = 7

Solve the following inequation and find the cardinality of the solution set.

$\frac{2 x + 3}{3} \geq \frac{3 x - 1}{4}$ where x is positive even integer.

The correct option is B
7

We have

(2x + 3)4 $\geq$ (3x - 1)3

8x + 12 $\geq$ 9x – 3

15 $\geq$ x

$∴$ x $\leq$ 15

So, x $ϵ$ {2, 4, 6, 8, 10, 12, 14}

Hence the cardinality of the solution set = 7