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What values of x satisfy both the following inequalities?

x - 5 ≥ (4/5)x + 3 AND 100 - (1/6)x ≥ (1/3)x +80

I get the answer -40 ≤ x ≤ 40
2. (Original post by Pythian)

What values of x satisfy both the following inequalities?

x - 5 ≥ (4/5)x + 3 AND 100 - (1/6)x ≥ (1/3)x +80

I get the answer -40 ≤ x ≤ 40
I can tell your working is probably mostly correct but you've made an error at the end. You can tell that your solution can't be right by trying a number within your range e.g. x = 0 (it's a good idea to check any inequality question like this). x = 0 doesn't satisfy the first inequality.

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