Answer: See below
Step-by-step explanation:
A) [tex]-x+2y < -4[/tex]
[tex]-x+2y-2y < -4-2y[/tex]
[tex]-x < -4-2y[/tex]
Multiply both sides by -1 and reverse the inequality:
[tex]\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)[/tex]
[tex]x > 4+2y[/tex]
B) [tex]2x+3y > 6[/tex]
[tex]2x+3y-3y > 6-3y[/tex]
[tex]2x > 6-3y[/tex]
[tex]\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}[/tex]
[tex]x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}[/tex]
