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Popular >

(11k-15)/3 >(5-2k)/4

Solution

\frac{11 k - 15}{3} > \frac{5 - 2 k}{4}

Solution

k > \frac{3}{2}

+2

Interval Notation

(\frac{3}{2}, \infty)

Decimal Notation

k > 1.5

Solution steps

\frac{11 k - 15}{3} > \frac{5 - 2 k}{4}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(11 k - 15) \cdot 4 > 3 (5 - 2 k)

Expand

(11 k - 15) \cdot 4 : 44 k - 60

Expand

3 (5 - 2 k) : 15 - 6 k

44 k - 60 > 15 - 6 k

Move

60

to the right side

44 k > - 6 k + 75

Move

6 k

to the left side

50 k > 75

Divide both sides by

50

k > \frac{3}{2}

Popular Examples

∣ x ∣ - 2 = 3

simplify (9x^8)^{1/2}simplify

(9 x^{8})^{\frac{1}{2}}

- 5 x^{2} = - 25

3(x-2)+2x(x+3)>(2x-1)(x+4)

3 (x - 2) + 2 x (x + 3) > (2 x - 1) (x + 4)

factor 45x^2+38xy+8y^2 factor

45 x^{2} + 38 x y + 8 y^{2}

Frequently Asked Questions (FAQ)

What is (11k-15)/3 >(5-2k)/4 ?
The solution to (11k-15)/3 >(5-2k)/4 is k> 3/2