Solve the inequality (3c/3)+1>7

Question

asked Jun 19, 2024 133k views

1 Answer

Alex Volkov · Answer 1 · 2024-06-25T18:02:26+0000

Hi there! I'll help you solve this problem!

We are asked to solve the following inequality:

$\bullet\quad\bf{\cfrac{3c}{3}+1 > 7}$

First, subtract 1 from both sides:

$\bullet\quad\bf{\cfrac{3c}{3} > 7-1}$

$\bullet\quad\bf{\cfrac{3c}{3} > 6}$

Next, multiply both sides by 3 to "eliminate" the fraction:

$\bullet\quad\bf{3c > 18}$

And, finally, divide both sides by 3:

$\bullet\quad\bf{c > 6}$ {answer}

We could also have done it this way:

$\bullet\quad\bf{\cfrac{3c}{3}+1 > 7}$

Reduce the fraction:

$\bullet\quad\bf{c+1 > 7}$ {because 3c/3 simplifies to c}

Subtract 1 from both sides:

$\bullet\quad\bf{c > 6}$

As you can see, we have the exact same answer, which is c > 6.

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