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Which inequality has a representation with an open circle at (-20) and shading to the left?

Answer and explanation

Correct answer: \(x < -20\)

An open circle means that \(-20\) is not included in the solution set. Shading to the left represents all numbers less than \(-20\). Therefore, the inequality is \(x < -20\). In contrast, \(x \le -20\) would include \(-20\), so it would use a closed circle. Exam tip: an open circle corresponds to \(<\) or \(>\), while a closed circle corresponds to \(\le\) or \(\ge\).

Related tags

Linear InequalitiesNumber LineOpen CircleInequality RepresentationLess ThanRepresentation On Number LineMathematicsClass 11 Mcq

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