In the previous lesson you learned what a linear inequality is, and now we are going to solve them step-by-step.
在之前的课程中,你学习了什么是线性不等式,现在我们将来逐步学习如何求解它们。
--SUGGESTED STEPS--
5(x - 1) ≤ 3x + 10
Step 1: Simplify each side, just like with equations.
Remove brackets: 5(x - 1) becomes 5x - 5.
5x - 5 ≤ 3x + 10
Step 2: Get the Variable Terms to One Side
"Use addition or subtraction to move all the variable terms to one side of the inequality."
"Let's move the 'x' variables to the LHS by subtracting 3x from both sides":
5x (-3x) - 5 ≤ 3x (-3x) + 10
2x - 5 ≤ 10 + 10
Step 3: Isolate the Variable Term
"Use addition or subtraction to move constant numbers to the other side.",
"In this case, let's move the constant numbers to the RHS by adding 5 to both sides":
2x - 5 (+5) ≤ 10 (+5)................
2x ≤ 15
Step 4: Isolate the 'X' Variable
"Use multiplication or division to get x by itself.",
"In this case, let's isolate the X on the LHS by dividing both sides by 2":
2x (/2) ≤ 15 (/2)........
x ≤ 7.5
Remember: If you divide by a negative, FLIP THE SIGN.
Step 5: Show on a Number Line
Now go HERE, and create the number line.
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。
--WORKSHEET TASK--
"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。