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Phoenix [80]
3 years ago
13

Solve the inequality. -6>t-(-13)

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0
Solving this inequality:
-6>t-(-13)
solve as an equation;
6>t+13
6-13>t
-7>t
-7 is greater than t, which means that can be any number smaller that t, fir instance -8, -22 etc.
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The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of inter
Alex777 [14]

Answers:

Domain = [-5, -2] \cup [1,5)

Range = (-4,4]

=============================================

Explanation:

The domain is the set of allowed x value inputs. We note that the left-most point is when x = -5, and this point has a closed or filled in endpoint, so we're including this x value in the domain.

The left piece has its other endpoint at x = -2, so the interval -5 \le x \le -2 is part of the domain. We write that as [-5,-2]is part of the domain's answer. The other part is [1, 5). We include x = 1 but exclude x = 5 as there's a hole here.

Use the union symbol to glue the two intervals together and we end up with [-5, -2] \cup [1,5) as the full domain.

----------------------------

The range is the set of possible y values. The lowest point is when y = -4, but we exclude this endpoint since there's an open hole here. The highest point is when y = 4. The range is -4 < y \le 4 which we write as (-4, 4]

Since there are no gaps in the range, we don't use any union symbols here. Any y value between -4 and 4 is possible, other than y = -4 itself.

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