Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Linear inequalities in one or two variables |
Grade: 1400-a Lesson: S1-L4 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Solve the inequality: 3x + 5 > 10. |
|
2 |
Step |
Subtract 5 from both sides of the inequality and after simplification |
\$3x + \cancel5 - \cancel5 > 10 - 5\$ |
3 |
Step |
Divide both sides of the inequality by 3 and after simplification |
\$ (\cancel(3)x)/\cancel3 > 5/3 \$ |
4 |
Step |
Therefore, the solution to the inequality 3x + 5 > 10 is \$ x > 5/3 \$. |
|
5 |
Choice.A |
This is not correct. The correct solution is greater than \$5/3\$, not \$3/5\$ |
\$ x > 3/5\$ |
6 |
Choice.B |
\$x > 5/3\$. This is because x must be greater than \$5/3\$ for the inequality to hold true |
\$ x > 5/3\$ |
7 |
Choice.C |
This is incorrect. The solution is greater than \$5/3\$, not less than |
\$ x < 5/3\$ |
8 |
Choice.D |
The inequality \$x < 3/5\$ isn’t accurate; it’s the solution for 3x + 5 < 10, the inverse |
\$ x < 3/5\$ |
9 |
Answer |
Option |
B |
10 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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