Rewrite the following as an inequality statement. ( 1 , ∞ ) \left(1,\infty\right)

we're asked to rewrite the following as an inequality statement. We're given here the interval from one to infinity, where both one and infinity are enclosed using a parenthesis. So thinking about values within this interval from one to infinity, we can think of values like, say, 1.5231, 20, 1,000, 4,000,000,000. All of these are values that are greater than one, spanning from one all the way to infinity. So my inequality here would be that x is greater than one. And I know that this one is enclosed in a parenthesis. So that tells me that one is not included in this interval. X cannot be equal to one. So I actually already have my inequality statement perfect that x is greater than one, and we're all done here. I'll see you in the next problem.

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The Addition and Subtraction Properties of Equality
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18m

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2. Linear Equations and Inequalities

Solving Linear Inequalities

Beginning Algebra

2. Linear Equations and Inequalities

Solving Linear Inequalities

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Multiple Choice

Rewrite the following as an inequality statement.
$open paren 1 comma infinity close paren$

$x is greater than or equal to 1$

$x is less than or equal to 1$

$x is greater than 1$

$x is less than 1$

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Verified step by step guidance

Understand that the interval notation $\left(1, \infty\right)$ represents all real numbers greater than 1 but not including 1 itself.

Recall that a parenthesis '(' in interval notation means the endpoint is not included, so the inequality will use a strict inequality symbol, not \ge or \le.

Translate the interval $\left(1, \infty\right)$ into an inequality by expressing that $x$ is greater than 1.

Write the inequality as $x > 1$ to correctly represent all numbers greater than 1 but not including 1.

Verify that this inequality matches the interval notation given, confirming that $x > 1$ is the correct inequality statement.