1. Equations & Inequalities

Linear Inequalities

1. Equations & Inequalities

Linear Inequalities

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Multiple Choice

Express the given set in interval notation and graph.
{ $x$ | 14 ≤ $x$ < 26}

(14,26)

Number line with a graph

[14,26]

Number line with a graph

[14, 26)

Number line with a graph

(14,26]

Number line with a graph

Verified step by step guidance

Understand the set notation {xx | 14 ≤ xx < 26}. This means the set includes all numbers x such that x is greater than or equal to 14 and less than 26.

Interval notation is a way of writing subsets of the real number line. The notation [14, 26) represents all numbers from 14 to 26, including 14 but not including 26.

In interval notation, a square bracket [ or ] indicates that the endpoint is included in the interval, while a parenthesis ( or ) indicates that the endpoint is not included.

To graph the interval [14, 26), draw a number line. Place a solid dot at 14 to indicate that 14 is included in the interval, and an open circle at 26 to indicate that 26 is not included.

Shade the region between 14 and 26 on the number line to represent all the numbers in the interval [14, 26).