Question Show Examples Solve the inequality and graph the solution on the line provided. 17, plus, 7, x, is less than or equal to, minus, 4 17+7x≤ −4 Answer Attempt 1 out of 2 Inequality Notation: Number Line:
To solve the inequality, we will first isolate the variable by subtracting 17 from both sides:
17 + 7x ≤ -4
7x ≤ -21
Next, we can solve for x by dividing both sides of the inequality by 7:
x ≤ -3
Therefore, the solution is x is less than or equal to -3.
To graph the solution on a number line, we will draw a closed circle at -3 to represent the inclusive inequality ("less than or equal to"). Then, we will draw an arrow to the left to indicate all the values less than -3. The number line will look as follows:
```
<-----●===================================>
-4 -3 -2 -1 0 1 2 3
```
Note: The symbol "●" represents a closed circle at -3, and the solid line represents all the values less than -3.
Solve the inequality and graph the solution on the line provided.
7, x, minus, 12, is greater than or equal to, minus, 54
7x−12≥
−54
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
To solve the inequality, we will first isolate the variable by adding 12 to both sides:
7x - 12 ≥ -54 + 12
7x - 12 ≥ -42
Next, we can solve for x by dividing both sides of the inequality by 7:
7x/7 ≥ -42/7
x ≥ -6
Therefore, the solution is x is greater than or equal to -6.
To graph the solution on a number line, we will draw a closed circle at -6 to represent the inclusive inequality ("greater than or equal to"). Then, we will draw an arrow to the right to indicate all the values greater than -6. The number line will look as follows:
```
<=======================================●----->
-10 -8 -6 -4 -2 0 2 4 6
```
Note: The symbol "●" represents a closed circle at -6, and the solid line represents all the values greater than -6.
2hat you want to learn a bout the European union
I can provide information about the European Union (EU). The EU is a political and economic union of 27 member states located primarily in Europe. It aims to promote peace, stability, and economic prosperity among its member countries.
Here are some key points about the European Union:
1. History: The EU was established in 1993 with the signing of the Maastricht Treaty. However, its roots can be traced back to the European Coal and Steel Community formed in 1951. Over the years, several countries joined the EU, expanding its membership and influence.
2. Objectives: The EU has various objectives, including the promotion of economic and social progress, development of a single market, fostering cooperation in foreign and security policies, and ensuring the free movement of people, goods, services, and capital within the EU.
3. Institutions: The EU has several important institutions, including the European Commission, the European Parliament, the Council of the European Union, the Court of Justice, and the European Central Bank. These institutions play crucial roles in decision-making processes, legislative functions, and maintaining the functioning of the EU.
4. Eurozone: The Eurozone is a subset of EU member states that have adopted the euro as their common currency. It currently consists of 19 countries out of the 27 EU member states.
5. Schengen Area: The Schengen Area is a zone comprising 26 European countries that have abolished passport control at their mutual borders. It enables the free movement of people within this area without internal border checks.
6. Policies and Regulations: The EU has jurisdiction over a wide range of policy areas, including trade, agriculture, energy, environment, security, justice, and consumer protection. It creates regulations and directives that member states must follow.
7. Benefits and Challenges: The EU offers numerous benefits to its member states, such as increased trade, economic stability, access to a larger market, and coordination on common issues. However, it also faces challenges like maintaining unity among member states, managing cultural diversity, and addressing economic disparities between regions.
8. Brexit: In 2016, the United Kingdom voted to leave the EU, resulting in Brexit. It marked the first time a member state has chosen to leave the union. The process of the UK’s withdrawal from the EU was officially completed on January 31, 2020.
These are just some introductory points about the European Union. Let me know if you have any specific questions or if there is anything else you would like to learn about the EU.
Solve the inequality and graph the solution on the line provided.
7, x, minus, 2, is less than, 54
7x−2<
54
Answer
Attempt 1 out of 2
Inequality Notation:
Number Line:
To solve the inequality, we will first isolate the variable by adding 2 to both sides:
7x - 2 < 54 + 2
7x - 2 < 56
Next, we can solve for x by dividing both sides of the inequality by 7:
(7x - 2)/7 < 56/7
x - (2/7) < 8
Therefore, the solution is x is less than 8.
To graph the solution on a number line, we will draw an open circle at 8 to represent the exclusive inequality ("less than"). Then, we will draw an arrow to the left to indicate all the values less than 8. The number line will look as follows:
```
<-------------------●=========================>
-2 2 4 6 8 10 12 14 16
```
Note: The symbol "●" represents an open circle at 8, and the solid line represents all the values less than 8.