Time to think solve graph and express ihe solution set of...

Solve, graph, and express the solution set of each inequality in interval form. 1. Y - 1 > 2 2. 3x + 7 < 15 3. m + 15 > 25 4. 5x - 6 < -8 5. 2 < 10 - X 6. 6x + 3 ≤ 15 - 2x 7. 4m - 5 > 7m + 12 8. 57 < 2 * (-5) < -3 9. 6 * (2/3)x + 2 > 12 10. 8 < Ap - 6 < 20 Solve each of the following problems: 1. One-fourth of a number plus five is greater than ten. What are the numbers? 2. Five times the sum of a number and three is greater than twice the number. Find the numbers. 3. Gwen weighs 180 pounds. She wants to weigh less than 160 pounds. On average, she can lose 2 pounds per week. How long should she stay on her weight loss diet to reach her goal? 4. Melvin's scores in three math quizzes were 89, 93, and 86. He needs a 90 to qualify as an honor student for the grading period. What score must he get on the final quiz? 5. Twice a number minus five is less than fifteen and greater than three. What are the numbers?

Transcript

00:01 Okay, so i can help you with this problem.

00:04 It looked or appeared that 10 problems had come over, but the way that they came over, you could not see any of them.

00:11 So i'm hoping that these numbers are correct, or at least i can help you answer them, and then you can get an idea of how you're supposed to do this.

00:23 So it says solve, graph, and express the solution set of each inequality and interval form.

00:30 I'll solve, put it in interval form, you can graph them.

00:33 There were 10 problems, but i could only make out half of them.

00:37 Same with this.

00:38 I tried to make out as many of the, or make understanding of it.

00:42 It's just the way that it came over.

00:45 It just didn't look right.

00:47 So for this one, i'm going to add one to both sides.

00:51 So y is greater than 3.

00:54 This one i'm going to subtract 7 first from both sides.

00:57 So i have 3x is less than 8 divided by.

01:00 3 and i would have x is less than 8 over 3 this one i'm subtracting 15 from both sides so m is greater than 10 this one i'm going to add 6 to both sides so i would get 5x is less than negative 2 divided by 5 and x is less than negative 2 5s and then for this one i'm going to subtract 4m from both sides and i'll subtract 12 from both sides.

01:38 So i get negative 17 is greater than 3m divided by 3.

01:46 And i'm just going to flip the inequality so it's on the left side.

01:50 So m is less than negative 17 over 3.

01:55 One fourth of a number plus 5 is greater than 10.

02:00 What is the number so solving for this i'm going to get n equals 20 n is greater than 20 not an n equals let me fix this and also typically we do not answer whole entire worksheets for this next one it is 5 multiplied by n plus 3 and that's greater than 2 n and and solving for this, i have negative 5 is less than n or n is greater than negative 5.

02:36 I did have to flip the inequality because i was ending up dividing by a negative.

02:41 For the next one, it should be 160 is greater than 180 minus 2x.

02:48 This i'm going to have to end up flipping the inequality and it is 10 is less than x or x is greater than 10...

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