Question

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

Answer 1

Answer:

3 < x

Step-by-step explanation:

$\frac{3[x + 4]}{3} > \frac{21}{3} \\ \\ x + 4 > 7 \\ \: \: \: -\: 4 \: - 4 \\ \\ x > 3$

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

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Answer 2

Answer:

x>3

Step-by-step explanation:

• First distribute the 3 to the inside of the parentheses:
• $3 \times x = 3x \\ 3 \times 4 = 12$
• 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
• $3x > 9 \\ 9 \div 3 = 3 \\ x > 3$
• you should then get x>3 for your final answer