Solve for xx and graph the solution on the number line below. x, minus, 3, is greater than, 9 x−3> 9 Answer Attempt 1 out of 2 Inequality Notation: Number Line:

9 answers

To solve the inequality, we will first isolate the variable x by adding 3 to both sides.

x - 3 + 3 > 9 + 3

x > 12

The inequality is x > 12.

To graph the solution on a number line, we draw a line and label it with numbers. Then, we put an open circle at 12 because x is greater than 12, and shade to the right of the open circle to represent all the values that satisfy the inequality.

Number Line:
<========o=============>
12

The shaded area represents the solution x > 12.
Solve for xx and graph the solution on the number line below.
minus, 2, is greater than, minus, 5, plus, x
−2>
−5+x
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:
To solve the inequality, we will first isolate the variable x.

−2 > −5 + x

We start by subtracting -5 from both sides:

−2 + 5 > x

3 > x

The inequality is 3 > x, or equivalently, x < 3.

To graph the solution on a number line, we draw a line and label it with numbers. Then, we put an open circle at 3 because x is less than 3, and shade to the left of the open circle to represent all the values that satisfy the inequality.

Number Line:
<====o--------------
3

The shaded area represents the solution x < 3.
Solve for xx and graph the solution on the number line below.
4, x, is greater than or equal to, minus, 32
4x≥
−32
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:
To solve the inequality, we will divide both sides of the inequality by 4.

4x/4 ≥ -32/4

x ≥ -8

The inequality is x ≥ -8.

To graph the solution on a number line, we draw a line and label it with numbers. Then, we put a closed circle at -8 because x is greater than or equal to -8, and shade to the right of the closed circle to represent all the values that satisfy the inequality.

Number Line:
<==============o====
-8

The shaded area represents the solution x ≥ -8.
Question

Show Examples
Solve for xx and graph the solution on the number line below.
minus, 70, is greater than or equal to, minus, 10, x
−70≥
−10x
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
Submit Answer
To solve the inequality, we will divide both sides of the inequality by -10. However, since we are dividing by a negative number, we must remember to flip the inequality symbol.

(-70)/(-10) ≤ x

7 ≤ x

The inequality is 7 ≤ x, or equivalently, x ≥ 7.

To graph the solution on a number line, we draw a line and label it with numbers. Then, we put a closed circle at 7 because x is greater than or equal to 7, and shade to the right of the closed circle to represent all the values that satisfy the inequality.

Number Line:
<==============o====
7

The shaded area represents the solution x ≥ 7.
Question

Show Examples
Solve for xx and graph the solution on the number line below.
7, plus, x, is less than, 16
7+x<
16
Answer
Attempt 1 out of 2


Inequality Notation:
Number Line:
Click and drag to plot line.
-12
-10
-8
-6
-4
-2
0
2
4
6
8
10
12
To solve the inequality, we will first isolate the variable x by subtracting 7 from both sides.

7 + x - 7 < 16 - 7

x < 9

The inequality is x < 9.

To graph the solution on a number line, we draw a line and label it with numbers. Then, we put an open circle at 9 because x is less than 9, and shade to the left of the open circle to represent all the values that satisfy the inequality.

Number Line:
<--------------o====
9

The shaded area represents the solution x < 9.