Which represents the solution set of 5 (x + 5) less-than 85 x less-than 12 x greater-than 12 x less-than 16 x greater-than 16

Question

asked Oct 10, 2021 166k views

2 Answers

Equinox · Answer 1 · 2021-10-15T12:57:41+0000

For this case we must find the solution of the following inequality:

5 (x + 5) <85

Applying distributive property on the left side of inequality we have:

5x + 25 <85

Subtracting 25 from both sides of the inequality we have:

$5x <85-25\\5x <60$

Dividing between 5 on both sides of the inequality we have:

$x <\frac {60} {5}\\x <12$

Thus, the solution is given by all values of x less than 12.

Answer:

x <12