Question 157266
Note: for inequalities, although you don't have it in this situation, if you multiply or divide by a negative number you MUST remember to flip the inequality sign.
.
1) -2/7 more than or equal to 2y/7 - 7/4

{{{ -2/7 >= 2y/7 -7/4 }}}
multiply both sides by a common denominator (28) to get rid of all denominators:
{{{ 28(-2/7) >= 28(2y/7 -7/4) }}}
{{{ 28(-2/7) >= 28(2y/7) - 28(7/4) }}}
{{{ 4(-2) >= 4(2y) - 7(7) }}}
{{{ -8 >= 8y -49 }}}
add 49 to both sides:
{{{ 41 >= 8y }}}
finally, divide both sides 8:
{{{ 41/8 >= y }}}



2) 7x + 16 is less than or equal to 8 

{{{ 7x + 16 <= 8 }}}
subtract 16 from both sides:
{{{ 7x <= -8 }}}
divide both sides by 7:
{{{ x <= -8/7 }}}