Question Number 110586 by Aina Samuel Temidayo last updated on 29/Aug/20
$$\mathrm{The}\:\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{interval}\:\mathrm{of}\:\mathrm{solution} \\ $$$$\mathrm{a}\leqslant\mathrm{2x}+\mathrm{5}\leqslant\mathrm{b}\:\mathrm{is}\:\mathrm{15}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{b}−\mathrm{a}? \\ $$
Answered by Aziztisffola last updated on 29/Aug/20
$$\:\frac{\mathrm{a}−\mathrm{5}}{\mathrm{2}}\leqslant\mathrm{x}\leqslant\frac{\mathrm{b}−\mathrm{5}}{\mathrm{2}} \\ $$$$\frac{\mathrm{b}−\mathrm{5}−\mathrm{a}+\mathrm{5}}{\mathrm{2}}=\mathrm{15}\Rightarrow\mathrm{b}−\mathrm{a}=\mathrm{30} \\ $$
Commented by Aina Samuel Temidayo last updated on 29/Aug/20
$$\mathrm{Thanks}. \\ $$