Question

Choose the last step in the given solution to the inequality 5x - 14 greater than or equal to 7x + 10.

5x - 14 greater than or equal to 7x + 10

-2x - 14 greater than or equal to 10

-2x greater than or equal to 24



A. x greater than or equal to -12

B. x greater than or equal to 12

C. x less than or greater to 12

D. x less than or greater to -12

Answer 1

@phi

Answer 2

Is this a trick question

Answer 3

they get to
-2x ≥ 24

it looks like their next step is to divide both sides by -2
if you divide or multiply by a negative number, you have to switch the ≥ to ≤
example with numbers: 2 ≥ -24 is true. if we multiply by -1 (or divide) we get
-2 ≥ -(-24) or -2 ≥ 24 which is not true. we have to flip the relation operator to
-2 ≤ 24

is that enough info to answer the question ?

Answer 4

Thankyou @phi