Dominique is allowed to play up to 8 hours of video games this week. They want to play video games for at least 4 hours this weekend. Which of the following can be used to represent t, the number of hours they can play video games before the weekend? Choose 1 answer: (A) 8-t >= 4 (B) 8-t = 4 (D) t-8 <= 4

Total allowed hours: Dominique is allowed to play up to 8 hours of video games for the entire week. They want to ensure that they play at least 4 hours during the weekend. To find the number of hours Dominique can play before the weekend, we need to subtract the hours they plan to play during the weekend from the total allowed hours for the week.Inequality representation: Let t represent the number of hours Dominique can play video games before the weekend. Since they want to play at least 4 hours during the weekend, the total hours played before the weekend plus the hours played during the weekend should not exceed 8 hours. This can be represented by the inequality: t + (hours played during the weekend) ≤ 8 Since they want to play at least 4 hours during the weekend, we can substitute this value into the inequality: t + 4 ≤ 8Isolating t in the inequality: To find the expression for t, we need to isolate t on one side of the inequality. We do this by subtracting 4 from both sides of the inequality: t + 4 - 4 ≤ 8 - 4 This simplifies to: t ≤ 4Number of hours before the weekend: The inequality t ≤ 4 means that the number of hours Dominique can play video games before the weekend is 4 hours or less. This matches option (B) from the given choices.

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Dominique is allowed to play up to 8 hours of video games this week. They want to play video games for at least 4 hours this weekend. Which of the following can be used to represent
t, the number of hours they can play video games before the weekend?
Choose 1 answer:
(A)
8-t >= 4
(B)
8-t <= 4
(c)
t-8 >= 4
(D)
t-8 <= 4

Dominique is allowed to play up to $8$ hours of video games this week. They want to play video games for at least $4$ hours this weekend. $\newline$ Which of the following can be used to represent $t$ , the number of hours they can play video games before the weekend? $\newline$ Choose $1$ answer: $\newline$ (A) $8-t \geq 4$ $\newline$ (B) $8-t \leq 4$ $\newline$ (C) $t-8 \geq 4$ $\newline$ (D) $t-8 \leq 4$

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Q. Dominique is allowed to play up to

8

hours of video games this week. They want to play video games for at least

4

hours this weekend.

\newline

Which of the following can be used to represent

t

, the number of hours they can play video games before the weekend?

\newline

Choose

1

answer:

\newline

(A)

8-t \geq 4

\newline

(B)

8-t \leq 4

\newline

(C)

t-8 \geq 4

\newline

(D)

t-8 \leq 4

Total allowed hours: Dominique is allowed to play up to $8$ hours of video games for the entire week. They want to ensure that they play at least $4$ hours during the weekend. To find the number of hours Dominique can play before the weekend, we need to subtract the hours they plan to play during the weekend from the total allowed hours for the week.
Inequality representation: Let $t$ represent the number of hours Dominique can play video games before the weekend. Since they want to play at least $4$ hours during the weekend, the total hours played before the weekend plus the hours played during the weekend should not exceed $8$ hours. This can be represented by the inequality: $\newline$ $t + \text{(hours played during the weekend)} \leq 8$ $\newline$ Since they want to play at least $4$ hours during the weekend, we can substitute this value into the inequality: $\newline$ $t + 4 \leq 8$
Isolating $t$ in the inequality: To find the expression for $t$ , we need to isolate $t$ on one side of the inequality. We do this by subtracting $4$ from both sides of the inequality: $\newline$ $t + 4 - 4 \leq 8 - 4$ $\newline$ This simplifies to: $\newline$ $t \leq 4$
Number of hours before the weekend: The inequality $t \leq 4$ means that the number of hours Dominique can play video games before the weekend is $4$ hours or less. This matches option (B) from the given choices.