Practice problem
Let β\betaβ be a real constant. What value of α\alphaα makes the following inequalities equivalent? 2x−α<3y+βx<32(y+β)\begin{gather} 2x-\alpha<3y+\beta\\ x<\frac{3}{2}(y+\beta) \end{gather}2x−α<3y+βx<23(y+β)
111
β\betaβ
222
2β2\beta2β
Type a concept, like “slope” or “photosynthesis”.