Which set expresses the solution to the compound inequality -221-4<1? (1 point)

Question

{x:3≤x<7}
○{x:≤x<1}
Ο {x:≤x<1}
{x:≤x<7}

Answer 1

To solve the compound inequality \(-221 - 4 < 1\), we first simplify the left side:

\[ -221 - 4 = -225 \]

So, the inequality becomes:

\[ -225 < 1 \]

This statement is true, as -225 is indeed less than 1. Since this inequality provides no bounds on \(x\), it effectively means that \(x\) can be any real number.

None of the provided options appear to represent this as they all impose restrictions on \(x\). However, the choice that fits the closest with the implication that there is no restriction on \(x\) is:

• {x: ≤ x < 1} seems to be a typographical error as it should be better represented as all real numbers or simply without any bounds.

If we interpret that choice to mean all real numbers or at least highlights that \(x\) can be less than 1 without upper bounds, it would loosely align with the conclusion we can draw.

So, the best option that reflects a valid solution from the provided choices while recognizing the constraints might be:

• {x: ≤ x < 1} (interpreted more as indicating a range without upper bounds)

But be wary that the options do not actually convey the solution to the inequality properly.

Thus, if we had to choose an answer based on the given selections, it would be {x: ≤ x < 1}, noting the constraints mentioned.