Question

Solve the inequalities for x, and match each solution to its number line graph.
Two less than of a
number (x) is no more than .
The sum of two times a number (x)
and -2 is at least 8.
Seven subtracted from 4 times a
number (x) is more than 13.
Four added to 3 times a number (x)
is less than 19.

Answer 1

On a number line that represents an inequality, if it has a closed circle the inequality will say or show a greater/ less than or equal to or it will say the number is at least this. The at least means that it could be more than this but it could also be this number.

2 - 3/2(x) greater than or equal to 5 1/2 - This one is the last option

(2 * x) + (-2) greater than or equal to 8 - This one is the first option

7 - (4 * x) greater than 13 - The second one

4 + (3 * x) less than 19 - The third one

Answer 2

The first number line in the figure matches the solution x ≤ 5

The fourth number line in the figure matches the solution x≥ 5

The second number line in the figure matches the solution x > 5

The third number line in the figure matches the solution x < 5

Two less than 3/2 of a  number (x) is no more than 5 1/2 is expressed as:

3/2 x - 2 ≤ 5 1/2

3/2 x≤  11/2 + 2

3/2 x ≤  15/2

3x ≤  15

x ≤ 5

The first number line in the figure matches the solution.

The sum of two times a number (x)  and -2 is at least 8 is expressed as:

2x + (-2) ≥ 8

2x - 2 ≥ 8

2x ≥ 8 + 2

2x ≥10

x≥ 5

The fourth number line in the figure matches the solution.

Seven subtracted from 4 times a  number (x) is more than 13 s expressed as;

4x - 7 > 13

4x > 13 + 7

4x > 20

x > 5

The second number line in the figure matches the solution.

For the statement "four added to 3 times a number (x)  is less than 19" is expressed as;

3x + 4 < 19

3x < 19 - 4

3x < 15

x < 15/3

x < 5

The third number line in the figure matches the solution.

Learn more on inequalities here: https://brainly.com/question/15816805