Question
Mathematics Question on inequalities
Solve the given inequality for real x: 4x+3 < 5x+7
Answer
4x+3 < 5x+7
⇒ 4x+3-7 < 5x+7-7
⇒ 4x-4 < 5x
⇒ 4x-4-4x < 5x-4x
⇒ -4 < x
Thus, all real numbers x, which are greater than -4, are the solutions of the given inequality.
Hence, the solution set of the given inequality is (-4, ∞).