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Mathematics
Problem
A student solved
2
−
5
x
≥
7
2 - 5x \ge 7
2
−
5
x
≥
7
as follows:
2
−
5
x
≥
7
⇒
−
5
x
≥
5
⇒
x
≥
−
1
2 - 5x \ge 7 \;\Rightarrow\; -5x \ge 5 \;\Rightarrow\; x \ge -1
2
−
5
x
≥
7
⇒
−
5
x
≥
5
⇒
x
≥
−
1
. Identify the step where the inequality sign should have changed direction and write the correct final inequality in
x
x
x
.
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