How do you solve and graph #6[5y-(3y-1)]≥4(3y-7)#?

1 Answer

Answer:

Inequality has infinite solution. Entire real number line (if that is the domain) is the graph for the inequality.

Explanation:

#6(5y - 3y + 1) >=12y - 28#

#30y - 18y + 6 >= 12y - 28#

#12y - 12y >= -28 - 6#

#0y >= -34#

#0 >= -34#

As this is true for all #y#, the inequality is true for all #y# and hence has infinite solutions.

Further, as all #y# satisfy the inequality, entire real number line (if that is the domain) is the graph of the inequality