Question 618794
-5\4x-3\+4>14
-5|4x-3|+4>14
solve for 2 conditions: (4x-3) and -(4x-3)
..
-5|4x-3|+4>14
-5(4x-3)+4>14
-20x+15+4>14
-20x+19>14
-20x>-5
Divide by -20 and reverse inequality sign
x<5/20
x<1/4
..
-5|4x-3|+4>14
-5*-(4x-3)+4>14
20x-15+4>14
20x-11>14
20x>24
x>24/20
x>6/5
..
solution:(in interval notation)
(-&#8734;, 1/4) U (6/5,&#8734;)