To determine which statement is true regarding the given daily temperatures in Alaska, let's analyze each statement step by step:
Given temperatures:
- Monday: [tex]\(-6^{\circ} F\)[/tex]
- Tuesday: [tex]\(-3^{\circ} F\)[/tex]
- Wednesday: [tex]\(2^{\circ} F\)[/tex]
- Thursday: [tex]\(-8^{\circ} F\)[/tex]
- Friday: [tex]\(-11^{\circ} F\)[/tex]
Statement A: Wednesday < Thursday
To verify this statement, we compare the temperatures on Wednesday and Thursday:
- Wednesday: [tex]\(2^{\circ} F\)[/tex]
- Thursday: [tex]\(-8^{\circ} F\)[/tex]
[tex]\(2^{\circ} F\)[/tex] is greater than [tex]\(-8^{\circ} F\)[/tex], hence Wednesday's temperature is not less than Thursday's temperature. Therefore, Statement A is false.
Statement B: Monday < Friday
To verify this statement, we compare the temperatures on Monday and Friday:
- Monday: [tex]\(-6^{\circ} F\)[/tex]
- Friday: [tex]\(-11^{\circ} F\)[/tex]
[tex]\(-6^{\circ} F\)[/tex] is greater than [tex]\(-11^{\circ} F\)[/tex], hence Monday's temperature is not less than Friday's temperature. Therefore, Statement B is false.
Statement C: Tuesday > Thursday
To verify this statement, we compare the temperatures on Tuesday and Thursday:
- Tuesday: [tex]\(-3^{\circ} F\)[/tex]
- Thursday: [tex]\(-8^{\circ} F\)[/tex]
[tex]\(-3^{\circ} F\)[/tex] is greater than [tex]\(-8^{\circ} F\)[/tex], hence Tuesday's temperature is indeed greater than Thursday's temperature. Therefore, Statement C is true.
Statement D: Thursday > Monday
To verify this statement, we compare the temperatures on Thursday and Monday:
- Thursday: [tex]\(-8^{\circ} F\)[/tex]
- Monday: [tex]\(-6^{\circ} F\)[/tex]
[tex]\(-8^{\circ} F\)[/tex] is less than [tex]\(-6^{\circ} F\)[/tex], hence Thursday's temperature is not greater than Monday's temperature. Therefore, Statement D is false.
Summarizing our analysis, the only true statement is:
- Statement C: Tuesday > Thursday
Thus, the correct answer is that statement C is true.
