How do you solve the inequality #7a<12a+10#?

2 Answers
Jul 11, 2017

Answer:

#-2 < a#

Explanation:

Treat the inequality as an equals sign and solve normally. Be careful when dividing by a negative number but apart from that you're good to go!

Jul 12, 2017

Answer:

#a> -12/5#

#a > -2 1/2#

Explanation:

#7a < 12a +10#

Treat an inequality in the same way as an equation. However if you multiply or divide by a negative number, the inequality sign will change around.

Therefore, try to keep the variable terms positive to avoid this.

Transposing the inequality can lead to:

#7a-12a < 12 " or "-12 < 12a -7a#

#color(red)(-5a < )12" or " color(blue)(-12 <5a)larr# this one is preferable
#color(white)(x....x)darr#
#color(red)((-5a)/(-5) >) 12/(-5)" or "color(blue)(-12 <5a)#

#color(red)(a) > -12/5" or "color(blue)(-12/5 < (5a)/5)#

#color(blue)(-12/5 < a)" "# can also be written as #a > -12/5#

#a > -2 1/2#