Question

Solve the inequality -8r<-12. Enter your answer as an inequality with just r on the left side. For example, if the inequality in the problem were true for all negative r, then you'd enter "r<0" (without the quotation marks). If it were true for all r greater than or equal to 3, then you'd enter "r>=3".

Answer 1

$\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}$

$: \implies \sf-8r<-12$

$: \implies \sf \cancel-8r > \cancel-12$

$: \implies \sf 8r > 12$

$: \implies \sf r > \dfrac{12}{8}$

$: \implies \sf r > \dfrac{4 \times 3}{4 \times 2}$

$: \implies \sf r > \dfrac{\cancel4 \times 3}{\cancel4 \times 2}$

$: \implies \sf r > \dfrac{3}{2}$

$: \implies \bf r >1.5$