42 < –6d
A. d < –7
B. d < 36
C. d > –7
D. d < –48
i really need help with this i don't
get it
solve it just as you would an equation:
42 = -6d
-7 = d
However, multiplying and dividing by negative values changes the direction of the inequality. So, you have
42 < -6d
7 < -d
-7 > d or d < -7
Since you can always add and subtract without changing the direction, the direction-switch is just a shorthand way to move items from one side to the other:
42 < -6d
42+6d < 0
6d < -42
d < -7
post it.
To solve this inequality, you need to isolate the variable "d" on one side of the inequality symbol.
42 < -6d
First, divide both sides by -6 to isolate "d" by itself:
42 / -6 < -6d / -6
This simplifies to:
-7 < d
So the correct answer is A. d < -7.
Explanation:
When you divide or multiply both sides of an inequality by a negative number, you need to flip the inequality symbol. In this case, you divided both sides by -6, which is negative, so you flipped the inequality. That's why -7 is the greater value.