Sometimes it helps to put a number line in front of you. If one number is to the left of the other number on the number line, it's a lower number. If one number is to the right of the other number on the number line, it is greater.
-5 -4 -3 -2 -1 0 1 2 3 4 5
4 is a solution of x<-5
FALSE: 4 is not greater than -5
-3 is a solution of y>-2
FALSE: -3 is not greater than -2
y≤3 includes 3 as a possible solution
TRUE: 3 is less than OR EQUAL to 3
Hope this helps! :)
Alrighty!
*Note the ">" sign is similar to the "=" sign.
3m - 3(3m + 8) > 3m
3m - 6m + 24 > 3m (distribute)
-3m + 24 > 3m (combine like terms)
24 > 6m (Compute/simplify)
8 > m
Makes sense?
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-(12x - 6) = 12x + 6
First, distribute the negative sign on the left side.
It is the same as multiplying the quantity in parentheses by -1.
-1(12x - 6) = 12x + 6
-12x + 6 = 12x + 6
Now, subtract 12x from both sides.
-24x + 6 = 6
Subtract 6 from both sides.
-24x = 0
Divide both sides by -24.
x = 0/(-24)
x = 0
Answer: x = 0
