Answer: x > -8/4
x > -2
Explanation:
To solve the given inequality equations, let's break it down step-by-step:
1. X * 5 < 0: This equation states that the product of X and 5 is less than 0. To solve this, we need to find the values of X that satisfy this condition.
To do that, we can divide both sides of the equation by 5. Remember that when you divide an inequality by a negative number, the direction of the inequality sign flips.
So, dividing both sides by 5 gives us:
X < 0/5
X < 0
This means that any value of X that is less than 0 will satisfy the inequality.
2. 4x > -8: This equation states that the product of 4 and x is greater than -8. Similar to the previous step, we need to find the values of x that satisfy this condition.
Dividing both sides of the equation by 4 gives us:
x > -8/4
x > -2
This means that any value of x that is greater than -2 will satisfy the inequality.
To summarize:
- For the inequality X * 5 < 0, any value of X that is less than 0 will satisfy the inequality.
- For the inequality 4x > -8, any value of x that is greater than -2 will satisfy the inequality.
Remember to include the inequality signs (<, >) in the final answer.
I hope this helps! Let me know if you have any further questions.