139k views
2 votes
Solve and graph each solution set.2 sf(x) 20, where f(x) = 3x - 1

Solve and graph each solution set.2 sf(x) 20, where f(x) = 3x - 1-example-1
User Repeatedly
by
8.0k points

1 Answer

3 votes

Given the following inequality:


2\leq f(x)\leq20

You know that:


f\mleft(x\mright)=3x-1

Then, you need to rewrite the inequality as follows:


2\leq3x-1\leq20

To solve the inequality, you can follow these steps:

1. Add 1 to all the three parts of the inequality:


\begin{gathered} 2+(1)\leq3x-1+(1)\leq20+(1) \\ 3\leq3x\leq21 \end{gathered}

2. divide all the three parts of the inequality by 3:


\begin{gathered} (3)/(3)\leq(3x)/(3)\leq(21)/(3) \\ \\ 1\leq x\leq7 \end{gathered}

Notice that it can be expressed as a double inequality. This indicates that two inequalities are joined.

Then, to graph the solution on the Number Line, you need to follow the steps shown below:

1. Since both symbols are:


\leq

You can draw to draw a square bracket "[" on the number 1 and another square bracket "]" on the number 7.

2. Draw a line that connects or join the brackets.

Then, you get this graph:

Therefore, the answers are:

- Solution:


1\leq x\leq7

- Graph: Option A.

Solve and graph each solution set.2 sf(x) 20, where f(x) = 3x - 1-example-1
Solve and graph each solution set.2 sf(x) 20, where f(x) = 3x - 1-example-2
User Soma Sarkar
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories