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Given: 5 > x + 7. Choose the solution set.

User Alan Tam
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3 votes

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.

User Gatusko
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