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Mathematics
August
11 February, 03:43
How do you solve - 2/5x - 9<9/10
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Alexa Riley
11 February, 05:59
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x > - 99/4
Step-by-step explanation:
I must assume that you meant (-2/5) x - 9<9/10.
This inequality has 3 terms. The LCD is 10. Multiply each term by 10 and reduce the result:
10 (-2/5) x - 10 (9) < 10 (9/10), or:
-4x - 90 < 9
Adding 90 to both sides results in:
-4x < 99
Here we must divide by a negative number (that is, by - 4). This requires reversing the direction of the inequality sign:
x > - 99/4 is the final solution.
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