Solve the following compound inequality and express the answer in interval notation. 2x < 10 and -5x < 5 No spaces please!
2007-07-27 06:56:15 · 5 answers · asked by just me 1 in Science & Mathematics ➔ Mathematics
Get x by itself first.
-5x < 5 and 2x < 10
x > -1 and x < 5
(-1, ∞) and (-∞, 5)
(-1 < x < 5)
(-1,5)
*use open brackets since the signs are <,> meaning not including the number*
2007-07-27 06:59:52 · answer #1 · answered by Reese 4 · 0⤊ 2⤋
2x < 10 divide each side by 2 2x/2 < 10/2 so x < 5
-5x < 5 divide each side by 5 so -x < 1 and x > -1
therefore -1 < x < 5 or (-1,5)
2007-07-27 14:03:15 · answer #2 · answered by Captain Mephisto 7 · 0⤊ 1⤋
2x<10
x<5
(-infinity,5)
-5x<5
x>-1
(-1,infinity)
Then combine them by using what they have in common:
(-1,5)
2007-07-27 14:00:37 · answer #3 · answered by Becky M 4 · 0⤊ 0⤋
frm first inequation,
2007-07-27 14:00:24
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answer #4
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answered by aviral17 3
·
0⤊
1⤋
-x<1
->x>-1
frm second,
x<5
thus solution is: -1
(-1,5)
2007-07-27 14:00:51 · answer #5 · answered by Anonymous · 0⤊ 0⤋