The given inequality is, 3x #x2212;2 #x003C;2x+1 Solve for real value of x, 3x #x2212;2 #x003C;2x+1 3x #x2212;2 ...

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Different Types of Intervals in Inequality

17. 3 x-2<2 x...

Question

17. 3x -2<2x 1

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Solution

The given inequality is,

3x−2<2x+1

Solve for real value of x,

3x−2<2x+1 3x−2x<1+2 x<3

Hence, the value of x is less than 3 that is,

x∈( −∞,3 )

The graphical representation of the solution is shown below,

Thus, x∈( −∞,3 ).

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