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How do you solve and graph 8 x > 7 x − 4 ?

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How do you solve and graph  8 x > 7 x − 4 ?
How do you solve and graph  8 x > 7 x − 4 ?


How do you solve and graph  8 x > 7 x − 4 ?


Explanation:

Subtract 7x from each side of the inequality to solve for x while keeping the inequality balanced:

8x7x>7x7x4

(87)x>04

1x>4

x>4


To graph this we will draw a vertical line at −4 on the horizontal axis.

The line will be a dashed line because the inequality operator does not contain an "or equal to" clause.

We will shade to the right side of the line because the inequality operator also contains a "greater than" clause:

graph{x > -4 [-10, 10, -5, 5]}