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neonofarm [45]
3 years ago
10

For which value of a are all the solutions of 2(x-5)>3x+a less than or equal 5?

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0
2(x-5)>3x+a \\
2x-10 > 3x+a \\
2x-3x>a+10 \\
-x>a+10 \ \ \ |\times (-1) \\
x

The solutions must be less than or equal to 5.
-a-10 \leq 5 \\
-a \leq 5+10 \\
-a \leq 15 \ \ \ |\times (-1) \\
a \geq -15

All the solutions are less than or equal to 5 for a≥-15.
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