Please help!
True or false and if false, correct the underlined portion.
If 9>-3w-51>60 then *-3<w +17<20*
Note: these ** represent the underlined portion. I didn't know how else to do it.
Change the 60 to -60 and then the underlined portion will be correct.
Changing the underlined 20 to -20 would also work, but then you have nonsense:
-3 < N < -20
which cannot be true for any value of N
If you know about tags, you can use the u and /u tags to enclose underlined text. Tags are strings enclosed in <>.
To determine if the statement "*-3 < w + 17 < 20*" is true or false, we need to analyze the given inequality "9 > -3w - 51 > 60" and perform the necessary operations to isolate 'w'.
First, let's solve the inequality "9 > -3w - 51 > 60" step by step:
Step 1: Add 51 to all parts of the inequality:
9 + 51 > -3w - 51 + 51 > 60 + 51
60 > -3w > 111
Step 2: Divide all parts of the inequality by -3. When dividing by a negative number, the inequality flips:
60 / -3 < -3w / -3 < 111 / -3
-20 < w < -37
Now we have found the range for 'w' as -37 < w < -20.
To determine if "*-3 < w + 17 < 20*" is true or false, we need to substitute the range we found for 'w' and check if the statement holds true:
-37 < w < -20
-37 + 17 < w + 17 < -20 + 17
-20 < w + 17 < -3
Since '-20' is not less than '-3', the statement "*-3 < w + 17 < 20*" is false. To correct the underlined portion, we should change it from "*-3 < w + 17 < 20*" to "*-20 < w + 17 < -3*".