Solve the inequalities for real x. \[2(2x+3)-10<6(x-2)\] - India Site

Solve the inequalities for real x. \[2(2x+3)-10<6(x-2)\]

Class 11 | Exercise 6.1 | Linear Inequalities | Maths | NCERT

Solve the inequalities for real x. \[2(2x+3)-10<6(x-2)\]

Solution:

From the question it is given that, \[2(2x+3)-10<6(x-2)\]

After multiplying we get

\[4x+6-10<6x-12\]

After simplifying we get

\[-4+12<6x-4x\]

\[8<2x\]

\[4<x\]

The solutions of \[2(2x+3)-10<6(x-2)\]are defined by all the real numbers greater than or equal to \[4\].

Therefore the required solution set is \[(4,-\infty )\]

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