How do you write the inequality and solve given "two

uri2e4g

uri2e4g

Answered question

2022-07-15

How do you write the inequality and solve given "two thirds of a number plus 5 is greater than 12"?

Answer & Explanation

haingear8v

haingear8v

Beginner2022-07-16Added 13 answers

Step 1
First, let's call the number we are going to solve for n.
Then two thirds of this number can be written as:
2 3 n
Then if we "plus 5" or, in other words, add 5 we get:
2 3 n + 5
Finally, if this is "greater than 12" we can finalize the inequality by writing:
2 3 n + 5 > 12
Now, to solve this we first subtract 5 from each side of the inequality to isolate the n term while keeping the inequality balanced:
2 3 n + 5 - 5 > 12 - 5
2 3 n + 0 > 7
2 3 n > 7
Then, we multiply each side of the inequality by 3 2 to solve for n while keeping the inequality balanced:
3 2 × 2 3 n > 3 2 × 7
3 2 × 2 3 n > 21 2
n > 21 2

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