solve -0.9x < -5x
Your inequality is NOT a true statement,because -0.9x is not less than -5x.
Your inequality should read:
-0.9X > -5X.
-0.9X + 5X > 0,
4.1X > 0.
X > 0.
Please disregard 1st analysis;it is
incorrect!
-0.9X < -5X,
-.9X + 5X < 0,
4.1X < 0,
X < 0.
To solve the inequality -0.9x < -5x, we need to isolate the variable x. Here's how you can do it step by step:
Step 1: Distribute the -0.9 on the left side by multiplying it with x:
-0.9x < -0.9 * (-5x)
Simplifying:
-0.9x < 4.5x
Step 2: Move all terms containing x to one side of the inequality. In this case, subtract 4.5x from both sides:
-0.9x - 4.5x < 0
Simplifying:
-5.4x < 0
Step 3: Divide both sides of the inequality by -5.4. When dividing by a negative number, the direction of the inequality must be flipped:
x > 0 / -5.4
Simplifying:
x > 0
So, the solution to the inequality -0.9x < -5x is x > 0.