The inequality 6(x + 2) > 7(x - 5) is equivalent to which of the following inequalities?

A.) x < -23

B.) x < 7

C.) x < 17

D.) x < 37

E.) x < 47

A.) x < -23

B.) x < 7

C.) x < 17

D.) x < 37

E.) x < 47

6(x + 2) > 7(x - 5)

6x + 12 > 7x - 35 {used distributive property}

12 > x - 35 {subtracted 6x from each side}

47 > x {added 35 to each side}

x < 47 {switched around}

6x + 12 > 7x - 35 {used distributive property}

12 > x - 35 {subtracted 6x from each side}

47 > x {added 35 to each side}

x < 47 {switched around}

**E.) x < 47**

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