The required answer are
- Option A is correct. x < -3 or x≥5
- Option B is correct. 25 ≤ x ≤ 30
- Option C is correct. .7 < x < 11
Let the unknown number be x
1) A number less than -3 is expressed as x < -3
If the number is greater than or equal to 5, this is expressed as x ≥ 5
Hence the required answer is x < -3 or x ≥ 5
2) In order to get the time a cake must bake is between 25 minutes and 30 minutes, inclusive, we will express it as;
25 ≤ x ≤ 30
Note that we used less than or equal signs since both values are inclusive.
3) Given the inequality expression 5 < x -2 <11
Solve independently
5 < x - 2
5 + 2 < x - 2 + 2
7 < x
Similarly for x - 2 < 11
x < 11 + 2
x < 13
Combining both inequalities
7<x<13
4) For the inequality 9 - c < 2 or -3c > 15
-c < 2 - 9
-c < -7
c > 7
For -3c > 15
c < 15/-3
c < -5
The solution will be c > 7 and c < -5
The required solution will be graph B.
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