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What inequality is represented on the given figure?
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Here, we have a number line and we have an open circle at four and an arrow going to the right, which is on the numbers greater than four — so larger than four.
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So the open circle means four is not one of our possible answers.
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So four can’t be part of our answer.
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However, numbers like four and a half, five, five point three, six, six point eight- essentially any number that’s greater than four is what we’re trying to represent.
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So we would need the inequality 𝑥 is greater than four because that is what is represented in this figure — all numbers greater than four.
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And we know that it’s not just numbers five and six and numbers between that because this arrow means it’s gonna keep going, so all numbers greater than four.
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Therefore, the inequality that is represented on this figure is 𝑥 is greater than four.
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And we just chose 𝑥; we could have used a different variable.
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But 𝑥 is just a common variable that we use.
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So 𝑥 is greater than four.