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3 years ago

Solve the compound inequality. 4 x - 6 ≥ −10 or 3 x +5 ≤ −10

1 answer:

3 0

Hello :
<span> 4 x - 6 ≥ −10 .....(1)
or
3 x +5 ≤ −10 ....(2)
(1) : 4x </span>≥ -4
x ≥ -1
(2) : 3x ≤ -15
x ≤ -5
conclusion : x ≤ -5 or x ≥ -1
the set solution is : ] -∞, - 5 ] ∪<span>[-1,+∞[</span>

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The average time the car took to reach each checkpoint are:

2.07
3.16
4.11
4.92

<h3>Average time</h3>

Given:

Time interval

1 2 3 4

2.02 3.17 4.12 4.93

2.05 3.07 3.98 4.81

2.15 3.25 4.23 5.01

Hence:

First quarter checkpoint

Average time= (2.02 + 2.05 + 2.15) / 3

Average time=6.22/3

Average time= 2.07s

Second quarter checkpoint

Average time= (3.17 +3.07 + 3.25) / 3

Average time=9.49/3

Average time = 3.16 s

Third quarter check point

Average time= (4.12 + 3.98 + 4.23) / 3

Average time=12.33/3

Average time= 4.11 s

Fourth quarter check point

Average time = (4.93 + 4.81 + 5.01) / 3

Average time=14.75/3

Average time= 4.917 s

Average time=4.92s (Approximately)

Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.

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