what is the soulution to the compound inequality 2<3x-1-<5

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12-09-2017
Mathematics

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what is the soulution to the compound inequality 2<3x-1-<5

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Using the equation y = 3x – 5, what would the output be for an input of -4?

texaschic101 texaschic101 · Answer 1 · 2017-09-12T16:59:57+02:00

2 < 3x - 1 < 5 ....add 1 to all sections
2 + 1 < 3x - 1 + 1 < 5 + 1 ...simplify
3 < 3x < 6...now divide all sections by 3
3/3 < (3/3)x < 6/3...simplify
1 < x < 2 <===

but if u have trouble doing it this way, u can split it
2 < 3x - 1 3x - 1 < 5
2 + 1 < 3x 3x < 5 + 1
3 < 3x 3x < 6
3/3 < x x < 6/3
1 < x x < 2
now put them together.....1 < x < 2 <==

either way, u will get the same answer