solve and graph the following inequality: 3x - 5 > -4x + 9
solve and graph the following inequality: 3x - 5 > -4x + 9
Answer
Explanation:
Step1: Add 4x to both sides
$3x - 5+4x>-4x + 9+4x$ $7x - 5>9$
Step2: Add 5 to both sides
$7x-5 + 5>9 + 5$ $7x>14$
Step3: Divide both sides by 7
$\frac{7x}{7}>\frac{14}{7}$ $x > 2$
To graph, draw a number - line. Put an open circle at 2 (because x is strictly greater than 2, not equal to 2) and shade the line to the right of 2.
Answer:
$x>2$