Algebra unit 4 lesson 4 Solving Multi Step Inequalities
2 answers:
Answer:
2. x > 17
3. x ≤ 7
4. a < 4
5. t ≥ -2
Step-by-step explanation:
2). x - 7 > 10
Now we add 7 on both the side of the inequality [Both the side of sign (>) greater than].
x - 7 + 7 > 10 + 7
x > 17
Answer is x > 17
3). 3x ≤ 21
Now we divide by 3 on both the sides of the inequality.
≤
x ≤ 7
Answer is x ≤ 7
4) 5a - 2 < 18
(5a -2) + 2 < 18 + 2
5a < 20
a < 4
Answer is a < 4
5). 2t + 8 ≥ -4(t + 1)
2t + 8 ≥ -4t - 4
2t + 8 - 8 ≥ -4t - 4 - 8
2t ≥ -4t - 12
2t + 4t ≥ -4t + 4t - 12
6t ≥ -12
t ≥ -
t ≥ -2
Answer is t ≥ -2
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The number of possible groups or combination of three men can be formed from 10 is 120.
According to the given question.
Total number of men in a company, n = 10.
Number of men to be selected, r = 3
As we know that, What is a combination in math?
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A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Therefore, the number of possible groups or combination of three men can be formed from 10
=
= 10!/ 3!7!
= 10(9)(8)/3(2)
= 5 × 3 × 8
= 120
The number of possible groups or combination of three men can be formed from 10 is 120.
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