Question

Multi-Step Inequalities with Distributive Property
Solve
3(x+4)>21

Answer 1

3 < x

Explanation:

`(3[x + 4])/(3) > (21)/(3) \\ \\ x + 4 > 7 \\ \: \: \: -\: 4 \: - 4 \\ \\ x > 3`

** The above answer is written in reverse, which is the exact same result.

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Answer 2

x>3

Explanation:

• First distribute the 3 to the inside of the parentheses:
• 
  `3 * x = 3x \\ 3 * 4 = 12`
• you should then get 3x+12>21
• next you want to subtract over 12 from both sides:
• 
  `3x + 12 > 21\ \\ 3x > 9`
• then divide 3 over on both sides
• 
  `3x > 9 \\ 9 / 3 = 3 \\ x > 3`
• you should then get x>3 for your final answer