Question

|4x – 3| < 7
{x| -2.5 < x < 1}
{x| -7 < x < 7}
{x| -1 < x < 2.5}
{x| -4 < x < 4}

Answer 1

\[|a| < b \iff -b < a < b\]

Answer 2

So given your specific information here we have that:\[|4x-3| < 7\]Which implies:\[-7 < 4x-3 < 7\]