in-3-17-solve-each-equation-or-inequality-each-solution-is-an-integer-3-4-x-1-11

Question

In $3-17,$ solve each equation or inequality. Each solution is an integer.
$$
3 < 4 x-1 < 11
$$

Yuanchun Ye · Accepted Answer

So first we would concert on, uh, left part off this inequality that his hero is nest. So Axe Minor three. And we would at three to both sides at his Nero plus three ness than X miners. Three, class three. So the last part would be three. And the right part would be ext. So the left part of this equation would be X. Um, it would be a three less than X unless computer right part. It would be ex miner three. Last time, four. And we would add three to both sides. That is, ext. Minor. Three, uh, class three lesson for the last three. So the last part would be X, and the right part will be seven. So then we would come by, um, the first target through the second part that his ex three is less than an axe. Lesson seven. This would bids a solution

Aditya Sood · Answer

so each inequality. This each solution is an integer, and we&#x27;re solving for a in the equation. 78 plus three is greater than 17. So we want to treat this like any other equation. And so we will want to isolate a variable. And so our first step is going to be too surprised. Negative three from both sides. So we get seven. A is greater than 14. Then to further isolate a we want to get hurt if it&#x27;s cool, fishing off seven. So we divide both sides by seven and we&#x27;re left with a is greater than two.

Yuanchun Ye · Answer

um, for the equation. 13 miners acts you close to 15. We would first subject each far each part of the equation by 13. So this would be 13 miners Max Miner, 13 and the right heart with the 15 miners. 30. So we know 13. Mind searching you close to zero. So it would be miners X in the left part. It would be too underground part and we would divide this equation off both sides by miners one. So that would be miners axe over minor swat and the right part would be to over miners want and it closed two x I&#x27;ve left and it closed Two minors, two on the right. So the solution is acts close to minors to

Aditya Sood · Answer

solve each equation or inequality. Each solution is an integer, so we want to find the absolute value of two. X plus four is equal to 22 we&#x27;re solving for X. So when dealing with absolute value, we can have two cases. We have the negative case. So we have this one, which is negative case, and we have the positive case, which is this one. So if it&#x27;s a negative case, we have negative to express. Foreign princes is equal to 22. Would distribute the negative scientists Negative two X minus four is good 22 Moved the four onto the right hand side by adding four to both sides. We get negative. Two X is equal to 26 excessive water. Nebula 13. If you go to the positive side, we don&#x27;t have any negative side to distribute. It was just two experts for is equal to 22. Subtract four and divide by two to isolate the X variable and we get X is equal to mine. Thank you

Aditya Sood · Answer

solve each equation or inequality. Each solution isn&#x27;t it. Fisher expression we&#x27;ve been given is for absolute value of four. A minus 12 is equal to 16 and we&#x27;re selling for a So since we&#x27;re dealing with the absolute value, we can either go the negative that we will have two solutions. There&#x27;s a negative wait, and we have a positive way. So if you were to do the negative way, we will have negative in Prentice&#x27;s, for a minus 12 is equal to 16. Distribute over the negative sign and moves to 12 or to the right hand side. So we get negative. For A is equal to 16 finest wells, we get negative. Every gay is equal to negative for over four, which is equal to negative one on the a positive version we simply have for a minus. 12 is equal to 16 once again, just like the other method, we want to add 12 to both sides to get for a 28 divide. Both sides before and we get A is equal to seven

Problem

In $3-17,$ solve each equation or inequality. Eac…

Problem 15 Easy Difficulty

In $3-17,$ solve each equation or inequality. Each solution is an integer.
$$
3 < 4 x-1 < 11
$$

Answer

$x \in(1,3)$

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$x \in(1,3)$

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