--DEFINITION--
"In the last lesson we looked at situations where the variable's range of values are <, >, ≤, ≥ than just a single number on the number line, but what if the variable's range of values is between two numbers on the number line—like bigger than one number 'and' also smaller than another one?"
在上一课中，我们讨论了变量取值范围在数轴上与单一数值比较的情况（比如<, >, ≤, ≥），但如果变量的取值范围是介于两个数之间——比如比一个数大，“同时”又比另一个数小，该怎么表示呢？
COMPOUND INEQUALITIES combine two different rules using the words “AND” “OR.”,
复合不等式使用词语 “且” 或 “或”，将两个不同的规则结合在一起。
for example:
"2 < x ≤ 5 can be written as: "The value of 'x' is greater than 2 AND less than OR equal to 5"
--SUGGESTED STEPS--
-9 < 3(2 + x) ≤ 6
Step 1: Remove brackets.
Remove brackets, so 3(2 + x) becomes 6 +3x.
-9 < 3(2 + x) ≤ 6
becomes...
-9 < 6 + 3x ≤ 6
Step 2: 'Split' into 2 seperate inequalities
-9 < 6 + 3x ≤ 6
becomes,...
-9 < 6 + 3x
and
6 + 3x ≤ 6
Step 3: 'Solve' the first inequality
-9 < 6 + 3x (-6), becomes...
-15 < 3x (/3), becomes...
-5 < x
Step 4: 'Solve' the second inequality
6 + 3x ≤ 6 (-6), becomes...
3x ≤ 0 (/3), becomes...
x ≤ 0
Step 5: 'Combine' the inequalities
-5 < x. 'Combine' x ≤ 0
−5 < x ≤ 0
Step 4: Show on a Number Line (Optional)
If you have access to Deepseek, ask it to create the number line. If not create it using powerpoint or some other desktop application.
TASK:
You will be assigned a question to work through step-by-step and post your process on the Padlet below. Use the example below as the template on how to structure your answer, and screenshot your number line into the image box.
你将分配到一道题目，需要逐步完成解答，并将你的解题过程发布在下面的 Padlet 上。请参照下方示例的结构来组织你的答案，并将数轴截图上传至图片框中。
--WORKSHEETS--
"Now choose a minimum of 5 questions from the worksheet and complete in your books showing your workings."
现在请从练习题中至少选择 **5 道题**，在练习本上完成并写出解题过程.