could some help me with this problem
Solve and steps
-0.5x < -15
-0.5x < -15
x < -15 / -0.5
x < 30
-0.5x < -15
divide both sides by -0.5
[-0.5x/-0.5] < [-15/-0.5]
x < 30
-.5x < -15
divide by -.5, remember when dividing by a negative number the inequality sign has to be reversed, so
x > 30
Sure! I can help you solve the inequality -0.5x < -15 and explain the steps as well.
Step 1: The first step is to isolate the variable x on one side of the inequality. To do this, we need to get rid of the coefficient of -0.5 that is multiplied by x.
Step 2: To eliminate the coefficient -0.5, we can multiply both sides of the inequality by its reciprocal, which is -2. By multiplying with a negative number, we need to flip the inequality sign.
-0.5x < -15 (original inequality)
-2*(-0.5x) > -2*(-15) (multiply both sides by -2)
Simplifying this, we get:
x > 30
Therefore, the solution to the inequality -0.5x < -15 is x > 30.
To verify the solution, we can substitute different values for x:
For example, let's try x = 31.
Plugging it in the original inequality:
-0.5(31) < -15
This simplifies to:
-15.5 < -15
Since this is true, we can conclude that x = 31 satisfies the inequality.