Question

warm-up
analyze the linear inequalities and determine if the solution set is the shaded region above or below the boundary line.
$y > -1.4x + 7$
$y > 3x - 2$
$y < 19 - 5x$
$y > -x - 42$
$y < 3x$
$y < -3.5x + 2.8$
solution set shaded above
solution set shaded below

Explanation:

Step1: Identify > inequality rule

For linear inequalities in the form $y > mx + b$, the solution set is the region above the boundary line $y=mx+b$.

Step2: Sort > inequalities

Inequalities with $y > ...$:
$y > -1.4x + 7$
$y > 3x - 2$
$y > -x - 42$

Step3: Identify < inequality rule

For linear inequalities in the form $y < mx + b$, the solution set is the region below the boundary line $y=mx+b$.

Step4: Sort < inequalities

Inequalities with $y < ...$:
$y < 19 - 5x$
$y < 3x$
$y < -3.5x + 2.8$

Answer:

Solution Set Shaded Above:

$y > -1.4x + 7$
$y > 3x - 2$
$y > -x - 42$

Solution Set Shaded Below:

$y < 19 - 5x$
$y < 3x$
$y < -3.5x + 2.8$