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.

2. Linear Equations and Inequalities

Linear Inequalities in One Variable

Beginning & Intermediate Algebra

2. Linear Equations and Inequalities

Linear Inequalities in One Variable

Struggling with Beginning & Intermediate Algebra?

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Multiple Choice

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

$x\ge1$

$x\le1$

$x>1$

$x<1$

Verified step by step guidance

Identify the interval notation given: $\left(1, \infty\right)$.

Recall that parentheses in interval notation mean the endpoint is not included, so the value 1 is not part of the solution.

Translate the interval $\left(1, \infty\right)$ into an inequality by expressing that $x$ is greater than 1 but not equal to 1.

Write the inequality as $x > 1$ to represent all values greater than 1.

Confirm that the inequality $x > 1$ correctly matches the interval $\left(1, \infty\right)$, since infinity is not a number but indicates all values larger than 1.

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Struggling with Beginning & Intermediate Algebra?

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

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