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solve each linear inequality and graph the solution set on a number line. $7(x+4)-13<12+13(3+x)$

   solve each linear inequality and graph the solution set on a number line.
$7(x+4)-13<12+13(3+x)$
Introductory & Intermediate Algebra for College Students
Introductory & Intermediate Algebra for College Students
Robert F. Blitzer 4th Edition
Chapter 9, Problem 21 ↓
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solve each linear inequality and graph the solution set on a number line. $7(x+4)-13<12+13(3+x)$
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Transcript

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00:01 To solve this inequality, i'll start by doing some distribution.
00:04 7 times x is 7x, and 7 times 4 is a 28.
00:13 Also on this side, i'll distribute the 13.
00:16 13 times 3 is 39, and 13 times x is a plus 13x.
00:23 Let's combine the like terms 28 and minus 13.
00:26 So i'll have 7x, and i'll get plus 15, 28 minus 13 is 15, is less than, and on this side, i'll have 12 plus 39, which is 51 plus 13x...
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