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PLEASE HELPPPP. I really need it

PLEASE HELPPPP. I really need it-example-1
User DafyddPrys
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1 Answer

5 votes

Answer:

Option 4: (0, 5]

Step-by-step explanation:

Given the inequality notation, 0 < x ≤ 5 :

Definitions:

open- and closed-parenthesis "( )"

We know that using the open- and closed-parenthesis, "( )" are used to express interval notation for which the endpoints are not included as part of the solution. Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than (>) or greater than (<), as you do not include the endpoints when these inequality symbols are used.

open- and closed-brackets "[ ]"

In contrast, the open- and closed-brackets, "[ ]" are used to express interval notation for which the endpoints are included as part of the solution. Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than or equal to (), and greater than or equal to ().

Step-by-step explanation:

In the inequality notation, 0 < x ≤ 5, the endpoints are 0 and 5.

The inequality symbol between 0 and x is "<," which means that we must use an open parenthesis, " ( " for the endpoint, 0.

While the inequality symbol between x and 5 is "," which means that we must use an closed bracket, " ] " for the endpoint, 5.

Therefore, the correct answer is Option 4: (0, 5].

User Stephane Chazelas
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