Answer:a> [tex]-\frac{7}{18}[/tex]
Step-by-step explanation:
(6a+3)3>2
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
[tex]6a+3 > \frac{2}{3}[/tex]
Subtract 3 from both sides.
[tex]6a > \frac{2}{3} -3[/tex]
Convert 3 to fraction [tex]\frac{9}{3}[/tex]
[tex]6a > \frac{2}{3} -\frac{9}{3}[/tex]
Since [tex]\frac{2}{3} \frac{9}{3}[/tex]have the same denominator, subtract them by subtracting their numerators.
[tex]6a > \frac{2-9}{3}[/tex]
Subtract 9 from 2 to get −7.
[tex]6a > -\frac{7}{3}[/tex]
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
[tex]a > \frac{-\frac{7}{3} }{6}[/tex]
Express [tex]a > -\frac{7}{3\frac{6}{1} }[/tex] and 6/1=6 as a single fraction.
[tex]a > \frac{-7}{3*6}[/tex]
Multiply 3 and 6 to get 18.
[tex]a > \frac{-7}{18}[/tex]
Fraction [tex]\frac{-7}{18}[/tex] can be rewritten as
[tex]-\frac{7}{18}[/tex]
by extracting the negative sign.
[tex]a > -\frac{7}{18}[/tex]