Solve the inequality. Graph the solution set and write it in interval notation.

Question

x - 5 >= - 7

Write the answer in interval notation.
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Answer 1

To solve the inequality, we need to isolate the variable x.

Starting with:

x - 5 >= -7

First, we can add 5 to both sides of the inequality:

x - 5 + 5 >= -7 + 5

Which simplifies to:

x >= -2

The solution set, or graph, of this inequality is all real numbers greater than or equal to -2. This can be represented on a number line as a closed circle at -2, and an arrow extending to the right.

In interval notation, this can be written as:

[-2, +∞)