Solve the compound inequality:
2x - 3 > 5 AND 5x + 2 < 32.
Draw the number line.
2007-07-29 12:53:05 · 4 answers · asked by Patricia F 1 in Science & Mathematics ➔ Mathematics
2x - 3 > 5
5x + 2 < 32
-
2x > 8
5x < 30
-
x > 4
x < 6
-
Answer:
4 < x < 6
-
2007-07-29 12:59:08 · answer #1 · answered by oregfiu 7 · 2⤊ 0⤋
2x-3>5
subtract both sides by 3
2x>8
divide both sides by 2
x>4
5x+2<32
subtract both sides by -2
5x<30
divide both sides by 5
x<6
2007-07-29 17:19:15 · answer #2 · answered by weeeelilbit 1 · 0⤊ 0⤋
2x-3 > 5
2x>8
x>4
5x+2<32
5x<30
x<5
So 4< x < 5
3 4 5 6
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2007-07-29 12:58:34 · answer #3 · answered by kellenraid 6 · 0⤊ 0⤋
-2m is between 6 and 10 so -m is between 3 and 5 so m is between -3 and -5 so -3>m>-5 and -6>2m>-10
2016-05-17 07:41:25 · answer #4 · answered by ? 3 · 0⤊ 0⤋