Answer:
Any value of x that is less than -2 will make the inequality true
Explanation:
The given inequality is 5 > x + 7. To find the solution set, we need to isolate the variable x.
Subtracting 7 from both sides of the inequality:
5 - 7 > x + 7 - 7
This simplifies to:
-2 > x
Next, we need to flip the inequality sign since we are dividing by a negative number (-2). When we do this, we get:
x < -2
Therefore, the solution set for the given inequality is x < -2. This means that any value of x that is less than -2 will satisfy the inequality.
For example, if we choose x = -3, we can substitute it into the original inequality to check if it is true:
5 > (-3) + 7
5 > 4
Since 5 is indeed greater than 4, we can conclude that x = -3 is a valid solution.
In summary, the solution set for the inequality 5 > x + 7 is x < -2. Any value of x that is less than -2 will make the inequality true.