1. all real numbers that are less than -3 or greater than or...

1. all real numbers that are less than -3 or greater than or equal to 5 2. The time a cake must bake is between 25 minutes and 30 minutes, inclusive. Solve each compound inequality. Graph your solutions. 3. 5 < k - 2 < 11 4. -4 > y + 2 > -10 5. 6b - 1 ? 41 or 2b + 1 ? 11 6. 5 - m < 4 or 7m > 35 7. 3 < 2p - 3 ? 12 8. 3 > (11 + k)/4 ? -3 9. 3d + 3 ? -1 or 5d + 2 ? 12 10. 9 - c < 2 or -3c > 15 11. 4 ? y + 2 ? -3(y - 2) + 24 12. 5z + 3 < -7 or -2z - 6 > -8 Write each interval as an inequality. Then graph the solutions. 13. (-1, 10] 14. [-3, 3] 15. (-?, 0] or (5, ?) 16. [3, ?) 17. (-?, 4) 18. [25, 50)

Transcript

00:01 Alright, so for number two, which is the first one that's circled, the timer cake must bake is between 25 and 30 minutes inclusive.

00:10 So between 25 and 30 inclusive.

00:19 So it'll look like that, where t is the time for baking.

00:24 Okay, so the next one circled is number four, which is negative four is greater than t.

00:34 Y plus 2 is greater than negative 10 so if we subtract 2 from everything okay negative 6 is greater than y is greater than negative 12 and how do we show this on a graph so it's these things between negative 12 and negative 6 that's where our y is next we have problem 6 5 minus m is less than 4 or 7m is greater than 35.

01:36 So go on the left we add m to both sides.

01:42 So 5 and then subtract 4 should get m is greater than 1 or divide by 7 m is greater than 5.

02:03 So to show this on the graph here's 1 here's 5.

02:12 M is greater than 5.

02:14 M is greater than so it's like this.

02:27 Okay, so the next one is number eight, which is three is greater than, i think it's 11k, 11 plus k, over 4, greater than are equal to negative 3.

03:18 Okay, multiply everything by 4.

03:20 So we have 12, subtract 11, and then how does this look on the graph? we've got negative 23, we've got 1.

03:45 It's including this one, not including this one, and this left in between.

03:57 So then next is number 10.

04:01 10 says 9 minus c, less than 2.

04:13 Or negative 3c is greater than 15.

04:23 Let's do the same thing here, so add c to both sides, subtract 2, oc is greater than 7, or divide by negative 3, flips the sign.

04:40 So then to graph this, we have negative 5, we have 7, it's not including either of them.

04:48 It's less than negative 5, so here's the number is less than negative 5, and it's greater than 7...

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