7 less than -2 times a number x is greater than or equal to 41 point

Question

write an inequality for the statement above.
Find the solution set of the inequality.
Write the solution using a fraction or integer.

Answer 1

I don't have a greater than or equal to sign so I'm just going to use greater than

 

7 less than [subtract 7 from]

-2 times a number x [-2x]

is greater than or equal to [>]

41 [41]

 

put the pieces together and solve:

-2x - 7 > 41

      +7   +7

-2x > 48

/-2     /-2     note: when you divide/multiply by a negative, the > flips to <

 

x < -24       Answer: x is less than or equal to -24