How do you solve #(3s-11)/4 >=1#?

2 Answers
Jun 30, 2016

#s>= 5#

Explanation:

Multiply both sides by 4 to get:

#3s - 11 >= 4#

Move the 11 across:

#3s >= 15#

Divide through by 3:

#s >= 5#

Jun 30, 2016

#color(blue)(s >= 5)#

Explanation:

Remember that without changing the validity or orientation of an inequality you can:
add or subtract the same amount to both sides
multiply or divide both sides by any amount greater than zero

#(3s-11)/4 >= 1#

multiplying both sides by #4#
#rArr 3s-11 >= 4#

adding #11# to both sides
#rArr 3s >= 15#

dividing both sides by #3#
#rArr s >=5#