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secondary 3 | E Maths
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Can someone help me with Qns 1
Date Posted: 3 years ago
Views: 412
7 - 5x = 2m + 9x
Bring terms over to each side,
7 - 2m = 9x + 5x
7 - 2m = 14x
Base on question info , We need -2 < x < 1
Multiply whole inequality by 14,
-28 < 14x < 14
Since 14x = 7 - 2m,
-28 < 7 - 2m < 14
Subtract 7,
-28 - 7 < 7 - 2m - 7 < 14 - 7
-35 < -2m < 7
Divide by 2,
-17.5 < -m < 3.5
Multiply by -1 (flip the signs),
17.5 > m > -3.5
Rewrite as :
-3.5 < m < 17.5
Bring terms over to each side,
7 - 2m = 9x + 5x
7 - 2m = 14x
Base on question info , We need -2 < x < 1
Multiply whole inequality by 14,
-28 < 14x < 14
Since 14x = 7 - 2m,
-28 < 7 - 2m < 14
Subtract 7,
-28 - 7 < 7 - 2m - 7 < 14 - 7
-35 < -2m < 7
Divide by 2,
-17.5 < -m < 3.5
Multiply by -1 (flip the signs),
17.5 > m > -3.5
Rewrite as :
-3.5 < m < 17.5
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