# Problem #1569

 1569 The length of the interval of solutions of the inequality $a \le 2x + 3 \le b$ is $10$. What is $b - a$? $\mathrm{(A)}\ 6 \qquad \mathrm{(B)}\ 10 \qquad \mathrm{(C)}\ 15 \qquad \mathrm{(D)}\ 20 \qquad \mathrm{(E)}\ 30$ This problem is copyrighted by the American Mathematics Competitions.
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