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Question
Solve the following inequalities and represent the solution on a number line:
`(2x + 5)/(4) > (4 - 3x)/(6)`
Solution
The given inequality is
`(2x + 5)/(4) > (4 - 3x)/(6)`
⇒ 6(2x + 5) > 4(4 - 3x)
⇒ 12x + 30 > 16 - 12x
⇒ 12x + 12x > 16 - 30
⇒ 24x > -14
⇒ x > `-(14)/(24)`
x > -7/12.
The graph of solution is x > -7/12
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