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stepan [7]
3 years ago
5

10

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

Jamal's inequality is correct

Step-by-step explanation:

Given

Sets:\{0,1,3,4,6,12\}

Gary: 6>0.5t

Nancy: 30 -t \le 18

Jamal: 12 \le t+12

Required

Which of the inequalities is/are true

Gary: 6>0.5t

6>0.5t

Divide both sides by 0.5

\frac{6}{0.5} > \frac{0.5t}{0.5}

12 > t

Rewrite as:

t < 12

Gary's inequality is false because: 12 = 12

Nancy: 30 -t \le 18

30 -t \le 18

Collect like terms

-t \le 18 - 30

-t \le -12

Divide both sides by -1

t \ge 12

Nancy's inequality is incorrect because: 0,1,3,4 and 6 are less than 12

Jamal: 12 \le t+12

12 \le t+12

12 - 12 \le t

0 \le t

Rewrite as:

t \ge 0

Jamal's inequality is correct because: 0,1,3,4,6 and 12 \ge 0

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