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tangare [24]
3 years ago
6

Which of the following sets shows all the numbers from the set {1,2,3,4} that are part of the solution to the inequality 7x + 6

> 20?
O{1,2,3)
O {2,3,4}
O {3,4}
O (4)

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

\boxed{\large \{3, 4\}}

Step-by-step explanation:

1. Solve the inequality

\begin{array}{rcll}7x + 6 & > & 20 & \\7x & > & 14 & \text{Subtracted 6 from each side}\\x & > & 2 & \text{Divided each side by 7}\\\end{array}

2. Write the solution set

\text{The solution set from $\{1, 2, 3, 4\}$ that satisfies the inequality is } \boxed{\large \mathbf{\{3, 4\}}}

Note that {2} is not a member of the solution set because

7(2) + 6 ≯ 20

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In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T
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Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>

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3 years ago
Help please jggvnhujff
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Answer:

Step-by-step explanation:

<u><em>8).</em></u>  \left \{ {{4x+3y=1} \atop {x+y=2}} \right.

<em>(2)</em> × [ - 3 ]

4x + 3y = 1 ........ <em>(3)</em>

- 3x - 3y = - 6 .... <em>(4)</em>

<em>(3)</em> + <em>(4)</em>

x = - 5

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<em>( - 5 , 7 )</em>

<u><em>9).</em></u> \left \{ {{-9x+3y=18} \atop {2x+y=-4}} \right.

<em>(1)</em> ÷ [- 3]

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2x + y = - 4 ........ <em>(4)</em>

<em>(3)</em> + <em>(4)</em>

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2(- 2) + y = - 4 ⇒ y = 0

<em>(- 2, 0)</em>

<u><em>10).</em></u> \left \{ {{x-2y=14} \atop {10x-6y=0}} \right.

<em>(2)</em> ÷ 10

x - 0.6y = 0 ⇒ x = 0.6y -----> <em>(1)</em>

0.6y - 2y = 14

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y = - 10

x - 2(- 10) = 14 ⇒ x = - 6

<em>(- 6, - 10)</em>

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