Question

Solve x+14<25 . Make sure to write your inequality so that x comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparisons (<)
keyboard.

(1 point)


Solve x−8≥5
. Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Solve x+10.5<20.2
. Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Use the image to answer the question.

A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. An open circle is marked on the tick line above 4. A line is drawn from 4 toward negative 10 with an arrow at the end.

What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Question
Use the image to answer the question.



A number line with arrows at both the ends ranges from negative 10 to 10 in unit increments. A closed circle is marked on the tick line above 1. A line is drawn from 1 toward 10 with an arrow at the end.
What linear inequality is shown graphed on the number line? Make sure to write your inequality so that x
comes first.

Note: You will find the option to add a >
, <
, ≥
, or ≤
symbol in the Comparison (<)
keyboard.

(1 point)

Answer 1

Let's solve each inequality step by step and ensure \(x\) comes first.

1. **Solve \(x + 14 < 25\)**:
\[
x + 14 < 25
\]
Subtract 14 from both sides:
\[
x < 25 - 14
\]
\[
x < 11
\]
So the inequality is:
\[
x < 11
\]

2. **Solve \(x - 8 \geq 5\)**:
\[
x - 8 \geq 5
\]
Add 8 to both sides:
\[
x \geq 5 + 8
\]
\[
x \geq 13
\]
So the inequality is:
\[
x \geq 13
\]

3. **Solve \(x + 10.5 < 20.2\)**:
\[
x + 10.5 < 20.2
\]
Subtract 10.5 from both sides:
\[
x < 20.2 - 10.5
\]
\[
x < 9.7
\]
So the inequality is:
\[
x < 9.7
\]

4. **Number line with open circle at 4 and line towards negative 10**:
This indicates that \(x\) is less than 4:
\[
x < 4
\]

5. **Number line with closed circle at 1 and line towards 10**:
This indicates that \(x\) is greater than or equal to 1:
\[
x \geq 1
\]

Now we have all the inequalities:
1. \(x < 11\)
2. \(x \geq 13\)
3. \(x < 9.7\)
4. \(x < 4\)
5. \(x \geq 1\)