Question 1133398


{{{3abs(7a+1)-5>=76}}}
 
{{{3abs(7a+1)>=76 +5}}}

{{{3abs(7a+1)>=81}}}

{{{abs(7a+1)>=81/3}}}

{{{abs(7a+1)>=27}}}

solutions:

=>{{{7a+1>=27}}}=>{{{7a>=27-1}}}=>{{{7a>=26}}}=>{{{a>=26/7}}}

=>{{{-(7a+1)>=27}}}=>{{{-7a-1>=27}}}=>{{{-28>=7a}}}=>{{{a<=-28/7}}}=>{{{a<=-4}}}


the solution in interval notation:
({{{-infinity}}}, {{{-4}}}] U [{{{26/7}}}, {{{infinity}}})

number line:

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