Solve: −7<2x+1<11%0D%0A%0D%0A%0D%0A%0D%0AWhich number line is the correct representation of the solution?

Answer 1

To solve the inequality -7 < 2x + 1 < 11, we can subtract 1 from all parts of the inequality:

-7 - 1 < 2x + 1 - 1 < 11 - 1
-8 < 2x < 10

Now, we can divide all parts by 2:

-8/2 < 2x/2 < 10/2
-4 < x < 5

This means that x lies between -4 and 5, but excluding -4 and including 5. We can represent this solution on a number line as follows:

-4 5
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