Answer
The solution is $\Big(-\infty,\dfrac{5}{7}\Big)$
Work Step by Step
$x\lt\dfrac{5}{7}$ and $x\lt1$
The interval that makes the first inequality true is $\Big(-\infty,\dfrac{5}{7}\Big)$
The interval that makes the second inequality true is $(-\infty,1)$
Since the compound inequality is formed by the word "and", the solution is formed by the numbers that satisfy both inequalities at the same time.
The solution is $\Big(-\infty,\dfrac{5}{7}\Big)\cap(-\infty,1)$
or
$\Big(-\infty,\dfrac{5}{7}\Big)$
