Solve for xx and graph the solution on the number line below.

Question

minus, 4, is greater than, x, minus, 9
−4>
x−9
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:

Answer 1

To solve the inequality -4 > x - 9, we can add 9 to both sides of the inequality:

-4 + 9 > x - 9 + 9
5 > x

The solution to the inequality is x < 5. To graph this on a number line, we would put an open circle on 5 and shade to the left:

Number Line:
<-----------o-------------]
5

Answer 2

Solve for xx and graph the solution on the number line below. x/-2<4
​
<
4
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:

Answer 3

To solve the inequality x/-2 < 4, we can multiply both sides of the inequality by -2. However, since we are multiplying by a negative number, the direction of the inequality symbol needs to be flipped:

x/-2 > 4

To isolate x, we can multiply both sides of the inequality by -2:

x > 4 * -2
x > -8

The solution to the inequality is x > -8. To graph this on a number line, we would put an open circle on -8 and shade to the right:

Number Line:
[-------------o------------>
-8