Question

What is the solution set of -9x ≥ 27?

Answer 1

-9x < (or =) 27 --> x > -3
Solution set : interval [-3 , +infinity). The end point (-3) is included in the solution set. On the number line it is represented by a solid circle at point -3.

Answer 2

thanks thu1935 for your help .

Answer 3

Not quite...

The original sign was switched in terms of direction in that explanation...

\[\large -9x \ge 27\]

You divide both sides by -9...and when you divide by a negative in an inequality...you switch the direction of the sign...

so

\[\large x \le -3\]

So it would be (-infinity , -3]

Answer 4

He is right. I made a mistake.

Answer 5

Sorry, the mistake is due to I wrongly write the problem -9x < 27.

Answer 6

Its okay thu1935 and johnweldon1993 thanks for your help