The given inequality is, 5x #x2212;3 #x003C;3x #x2212;5 Solve for real value of x, 5x #x2212;3 #x2265;3x #x2212;5 ...

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Different Types of Intervals in Inequality

18. 5 × 323 ×...

Question

18. 5x 3 2 3x 5

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Solution

The given inequality is,

5x−3<3x−5

Solve for real value of x,

5x−3≥3x−5 5x−3x≥−5+3 2x≥−2 x≥−1

So, the value of x is greater than or equal to −1 that is,

x∈[ −1,∞ )

The graphical representation of the solution is,

Thus, x∈[ −1,∞ ).

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Similar questions

32^{3 / 5}

{(\frac{243}{32})}^{\frac{3}{5}} \times {(\frac{2}{3})}^{- 3} \times ⎡ ⎢ ⎢ ⎣ {(\frac{125}{27})}^{\frac{2}{3}} ⎤ ⎥ ⎥ ⎦

Simplify:

(i) ; (ii) .

[3^{2^{3}} - (3^{2})^{3}]

8^{3} = 512

32^{3 / 5} = 8

7^{- 2} = \frac{1}{49}

10^{- 2} = 0.01

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