Q59. - Algebra 2

Question

For Exercises 57-60, use the following information.

 

You can use the operators in the LOGIC menu on the Ti-83 Plus to graph compound and absolute value inequalities. To display the LOGIC menu, press $\boxed{2\text{nd}}\boxed{\text{TEST}}\boxed{}$.

 

Write the expression you would enter for Y1 to find the solution set of the compound inequality $5x+2\ge 3$or $5x+2\le -3$. Then use the graphing calculator to find the solution set.

 

Step-by-Step Solution

Answer

The required expression represented by $5x-1$ and solution set is $\left\{x|x\ge 0.2\text{ or }x\le -1\right\}$.

Step 1- Write the required expression

The first expression will be derived from the first inequality that will be$5x-1$.

Step 2 – Use the graphing calculator

Insert the expression $5x-1$ in Y1 and $5x+5$ in Y2 and press the GRAPH button.

Step 3- Make the conclusion

Use the TRACE button and arrow keys to find the points where the lines are touching the x-axis which are $0.21276595$ and $-1.06$ where the first value representing the Y1 and second representing the Y2 which represents that the solution set is$\left\{x|x\ge 0.2\text{ or }x\le -1\right\}$.