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(Please help!) What is the reason for each step in the solution of the inequality?

28−3(x−2)<5x+10

Please help What is the reason for each step in the solution of the inequality 283x2lt5x10 class=

Respuesta :

[tex]28-3(x-2)<5x+10[/tex] - given

[tex]28-3x+6<5x+10[/tex] - distributive property (we distributed the 3)

[tex]34-3x<5x+10[/tex] - sum like terms (we summed 28 and 6)

[tex]34<8x+10[/tex] - addition property of order (we summed 3x to both sides)

[tex]24<8x[/tex] - subtraction property of order (we subtracted 10 to both sides)

[tex]3<x[/tex] - division property of order (we divided both sides by 8)