Question

solve the inequality and graph the solution. 7x - 2>6x - 4. choose the correct graph below. a. graph with arrow pointing left ending at - 2, closed - circle at - 2 b. graph with arrow pointing right starting at - 2, closed - circle at - 2 c. graph with arrow pointing left ending at - 2, open - circle at - 2 d. graph with arrow pointing right starting at - 2, open - circle at - 2

Explanation:

Step1: Subtract 6x from both sides

$7x - 2-6x>6x - 4-6x$
$x - 2>- 4$

Step2: Add 2 to both sides

$x-2 + 2>-4 + 2$
$x>-2$

The solution of the inequality is all real - numbers greater than - 2. On a number line, we represent this with an open circle at - 2 (because - 2 is not included in the solution) and an arrow pointing to the right.

Answer:

D