Question

Marco solves the equation 4sin(3x) + 0.25 ≤ 2sin(3x) − 0.3 by graphing y = 2sin(3x) and y = −0.55. he then locates the intervals on which 2sin(3x) is less than or equal to −0.55. is marco's solution method valid? explain.

Answer 1

yes, Marco's method is correct. The given inequality can be rewritten using the properties of inequality. You can subtract 2sin(3x) and 0.25 from both sides of the inequality. Subtracting preserves the direction of the inequality, so 2sin(3x) would be less than or equal to 0.55.

Explanation:

Answer 2

yes, Marco's method is correct.

The given inequality can be rewritten using the properties of inequality.

You can subtract 2sin(3x) and 0.25 from both sides of the inequality.

Subtracting preserves the direction of the inequality, so 2sin(3x) would be less than or equal to –0.55.

Explanation: