Question

Solve the inequality (3c/3)+1>7​

Answer 1

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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Best Wishes!