Answer: 5 < 2
Step-by-step explanation:
First, we divide both sides of the inequality by -5. However, since we are dividing by a negative number, we need to reverse the inequality sign.
Dividing both sides by -5, we get x > -2/5.
This means that any value of x greater than -2/5 will make the inequality true. To express this in set notation, we can write the solution as:
{x | x > -2/5}
This means that any real number greater than -2/5 is a solution to the inequality.
For example, if we take x = 0, we can substitute it into the inequality:
-5(0) < 2
0 < 2
Since 0 is greater than -2/5 and the inequality is true, x = 0 is a solution.
Similarly, if we take x = -1, we can substitute it into the inequality:
-5(-1) < 2
5 < 2
Since 5 is not less than 2 and the inequality is false, x = -1 is not a solution.
Therefore, the values of x that make the inequality −5x < 2 true are any real numbers greater than -2/5.
