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4(3x-5)-6x<6x+1

 Nov 12, 2014

Best Answer 

 #1
avatar+23254 
+5

4(3x - 5) - 6x < 6x + 1

Distributive Property:

12x - 20 - 6x < 6x + 1

Simplifying the left side:

6x - 20 < 6x + 1

Subtract 6x from both sides:

    -20 < 1

This is a true statement; no matter what value you replace for x in the original inequality, the inequality can never be made false.

Answer:  All numbers work.

 Nov 12, 2014
 #1
avatar+23254 
+5
Best Answer

4(3x - 5) - 6x < 6x + 1

Distributive Property:

12x - 20 - 6x < 6x + 1

Simplifying the left side:

6x - 20 < 6x + 1

Subtract 6x from both sides:

    -20 < 1

This is a true statement; no matter what value you replace for x in the original inequality, the inequality can never be made false.

Answer:  All numbers work.

geno3141 Nov 12, 2014

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