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

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Answer 1 · 2016-03-19T15:12:24

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

#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