Asked by purple
How many integers are common to the solution sets of both inequalities?
x+7≥3x
3x+4≤5x
x+7≥3x
3x+4≤5x
Answers
Answered by
Jai
x + 7 ≥ 3x
x - 3x ≥ -7
-2x ≥ -7
x ≤ 7/2
x ≤ 3.5
3x + 4 ≤ 5x
3x - 5x ≤ -4
-2x ≤ -4
x ≥ 2
Therefore, the common solution is from 2 to 3.5, or
2 ≤ x ≤ 3.5
Hope this helps :3
x - 3x ≥ -7
-2x ≥ -7
x ≤ 7/2
x ≤ 3.5
3x + 4 ≤ 5x
3x - 5x ≤ -4
-2x ≤ -4
x ≥ 2
Therefore, the common solution is from 2 to 3.5, or
2 ≤ x ≤ 3.5
Hope this helps :3
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