How do you solve <mstyle displaystyle="true"> m - 7

amuguescaet3jf

amuguescaet3jf

Answered question

2022-06-01

How do you solve m - 7 < 1.2 ?

Answer & Explanation

dalennauf5q69

dalennauf5q69

Beginner2022-06-02Added 2 answers

Step 1
Multiply each side by -7 and flip the sign.
( - 7 ) m - 7 < 1.2 ( - 7 )
m > - 8.4
Step 2
Check
Pick a value for m and substitute it into the original inequality.
Since 0 is greater than -8.4 we can use that to test our answer.
m - 7 < 1.2
0 - 7 < 1.2
0 < 1.2
Since this is a true statement our problem checks.
Imani Bentley

Imani Bentley

Beginner2022-06-03Added 2 answers

Step 1
To solve without multiplying by a negative:
Multiply each side by 7:
( 7 ) m - 7 < 1.2 ( 7 )
- m < 8.4
Subtract -m from each side of the inequality.
0 < - m + 8.4
Subtract -8.4 from each side of the inequality.
- 8.4 < m
which is the same as
m > - 8.4

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