How do you evaluate #1- 7( 6v + 1) \leq - 258#?

1 Answer
Jim G.
Mar 30, 2018

#v>=6#

Explanation:

#"distribute parenthesis and simplify left side"#

#1-42v-7<= -258#

#rArr-42v-6<= -258#

#"add 6 to both sides"#

#-42vcancel(-6)cancel(+6)<= -258+6#

#rArr-42v<= -252#

#"divide both sides by "-42#

#color(blue)"Remembering to reverse the sign when multiplying "#
#color(blue)"or dividing by a negative quantity"#

#(cancel(-42) v)/cancel(-42)>=(-252)/(-42)larrcolor(red)"sign reversed"#

#rArrv>=6" is the solution"#

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