Answer
$w\lt-3$
Work Step by Step
The left side of the equation is $3w+4$, so there will be 3 green tiles (representing the variable's coefficient) and 4 yellow tiles (representing the 4). The right side of the equation is -5, so there will be 5 red tiles representing the -5.
$3w + 4 \lt -5$ (given)
$3w + 4 (- 4) \lt -5 (- 4)$ (subtracting 4 from both sides, 4 red tiles)
$3w \lt -9$ (subtract, removing the zero pairs)
$3w \div 3 \lt -9\div 3$ (divide both sides by 3, identifying identical groups)
$w \lt -3$ (divide, remove duplicate groups)
