how do you find an inequality for these types of problems:{w∣5.2>w}

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11-08-2017
Mathematics

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how do you find an inequality for these types of problems:{w∣5.2>w}

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eco92 eco92 · Answer 1 · 2017-08-18T14:49:36+02:00

A.
We want an inequality whose answer is w<5.2

B.
If we were given the inequality, "w<5.2" would be the last step of a sequence of simplification steps.

C. Let's reverse the process, by adding or multiplying:

w<5.2

add 0.8 to both sides:

w+0.8 < 6

multiply by 3:

3w+2.4 < 18

multiply by -1:

-3w-2.4>-18

add 5w to both sides:

2w-2.4>5w-18

Answer: by reversing the process of solving an inequality, as in the example shown.