Question

solve for x and graph the solution on the number line below.
x - 2 > 5 and x - 2 < 7
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
click line to delete. click closed circle to change to open circle.
submit answer

Explanation:

Step1: Solve the first inequality

Add \(2\) to both sides of \(x - 2>5\).
\(x-2 + 2>5 + 2\), so \(x>7\).

Step2: Solve the second inequality

Add \(2\) to both sides of \(x - 2<7\).
\(x-2+2<7 + 2\), so \(x<9\).

Answer:

Inequality Notation: \(7

For the number - line: Place an open circle at \(x = 7\) (since \(x>7\) and \(7\) is not included) and an open circle at \(x = 9\) (since \(x<9\) and \(9\) is not included), then draw a line segment connecting the two open circles.