Which inequality is equivalent to -x < 8?
A. X< 8***
B. X> 8
C. X< -8
D. X>-8
A is clearly wrong, since there is no - sign any more.
add x-8 to both sides.
now what do you think?
-x < 8.
Multiply or divide both sides by -1. What happens to inequality sign?
To solve the inequality -x < 8, we need to multiply both sides by -1. However, when we multiply or divide an inequality by a negative number, we need to flip the inequality symbol.
So, multiplying both sides of -x < 8 by -1 gives us x > -8.
Thus, the inequality equivalent to -x < 8 is:
D. x > -8.
To find the equivalent inequality to -x < 8, we need to divide both sides of the inequality by -1. However, when dividing by a negative number, we need to flip the inequality sign.
So, let's divide both sides of -x < 8 by -1:
(-x)/-1 > 8/-1
This gives us x > -8, which is equivalent to the original inequality -x < 8.
Therefore, the answer is B. X > 8.