Question 70658
need to solve inequalities
2/3(12-x)>=1/2(x+12)-5
{{{(2/3)(12)+(2/3)(-x)>=(1/2)(x)+(1/2)(12)-5}}}
{{{8-2x/3>=x/2+6-5}}}
{{{8-2x/3>=x/2+1}}}  You can avoid adding fractions by multiplying everything by the LCD:6.
{{{6(8)+6(-2x/3)>=6(x/2)+6(1)}}}
{{{48-4x>=3x+6}}}
{{{48-4x-3x>=3x-3x+6}}}
{{{48-7x>=6}}}
{{{48-48-7x>=6-48}}}
{{{-7x>=-42}}}
{{{-7x/-7x<=-42/-7}}}  Flip the inequality when multiplying or dividing by a negative number.
{{{highlight(x<=6)}}}
Happy Calculating!!!!