You can
put this solution on YOUR website! -3/8 < -1/4x + 1/8 < 5/8
Clear of fractions by multiplying all terms on all three sides by 8
8·(-3/8) < 8·(-1/4x) + 8·(1/8) < 8·(5/8)
-3 < -2x + 1 < 5
Subtract 1 from all three sides:
-3 < -2x + 1 < 5
-1 -1 -1
—————————————————————
-4 < -2x < 4
Divide all three sides by -2, remembering that whenever we divide
an inequality through by a negative number, the symbol is reversed:
-4 < -2x < 4
-4/(-2) > -2x/(-2) > 4/(-2)
2 > x > -2
This is a perfectly good answer; however it is customary to change this
so that we use " < " instead of " > ", so the answer is
-2 < x < 2
Edwin
AnlytcPhil@aol.com
