How do you solve #1/2 x - 1/10<=x + 1#?

1 Answer
Prof_S
Jan 8, 2016

x #>=# -2.2

Explanation:

If one subtracts x from both sides of the inequality, one gets #-1/2x -1/10 <= 1#. So, by adding #1/10# to both sides, one gets #-1/2 x <= 1.1#. Multiplying both sides by 2, one gets #-x >= 2.2#. Multiplying both sides of the inequality by -1, which reverses the inequality from #<=# to #>=#, one gets #x >= -2.2#.

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