Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Lin is solving the inequality 15-x< 14. She knows the solution to the equation 15 - x = 14 is x = 1 How can Lin determine whether x > Torx < 1 is the solution to the inequality?

Sagot :

The inequality we have is:

[tex]15-x<14[/tex]

To solve this problem the x has to be positive, for this reason, the first step is to add x to both sides of the inequality:

[tex]15-x+x<14+x[/tex]

As you can see, on the left side -x+x is equal to 0. So we have:

[tex]15<14+x[/tex]

The next step to solving for x, now that the x is positive, is to leave the term with x alone on one side of the inequality. For this reason, we need to subtract 14 to both sides of the inequality:

[tex]15-14<14-14+x[/tex]

On the right side, 14-14 is equal to 0, and thus we will be left only with "x" on that side:

[tex]15-14On the left side, 15-14 is equal to 1:[tex]1This can be read as follows: "x is greater than 1".

And we can also write this solution with the x at the beginning:

[tex]x>1[/tex]

Answer: x>1