not sure if I did this right
14+(-20x) is greater than 14-6x
14 - 20x > 14 - 6x
-14x > 0
When you divide by a negative, the sense of the inequality is reversed
x < 0
thank you
To determine if you did the inequality correctly, we can solve it step by step.
Given: 14 + (-20x) > 14 - 6x
Step 1: Simplify the left side by combining like terms:
-20x simplifies to -20x
14 + (-20x) simplifies to 14 - 20x
Step 2: Simplify the right side by combining like terms:
-6x remains as -6x
14 remains as 14
So now we have: 14 - 20x > 14 - 6x
Step 3: Move all the terms containing x to one side of the equation:
14 - 6x - 14 + 20x > 0
Simplifying further, we get: 20x - 6x > 0
Step 4: Combine like terms on the left side of the inequality:
20x - 6x simplifies to 14x
So now we have: 14x > 0
To determine if this is true, we need to consider two cases:
Case 1: x > 0
If x is greater than 0, then multiplying it by a positive number (14) will result in a positive value.
Case 2: x < 0
If x is less than 0, then multiplying it by a positive number (14) will result in a negative value.
Therefore, the inequality 14 + (-20x) > 14 - 6x is true when x > 0.