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give work for equations following:

-x+2y<-4
2x+3y>6

thanks sooooo much!!!!


Sagot :

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]