Solving inequalities by multiplying or dividing quiz part 1
real answers 100%!!
1. 7
2. 8
3. 7x + 5 = 4x + 5 + 3x
4. the black line with the black dot on -2 on the left side
5. x=2
6. q>1
7. p<8
8. g>90
9. n - 6 > 2; n < 4
i need help too:(
1. 7
2. 8
3. 7x+5=4x+5+3x
4. line with) -5 -4 -2 (dot on -2
5. k<0
6. q>-1
7. p<8
8. g>90
9. n-6>2;n>8
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try to avoid any lettered versions of this high chance they're wrong
btw they were right, this is up to date.
To solve inequalities by multiplying or dividing, follow these steps:
1. Identify the inequality type: Is it less than (<), greater than (>), less than or equal to (≤), or greater than or equal to (≥)? This will determine the direction of the inequality.
2. Treat the inequality like an equation and solve normally until you reach the step where you need to multiply or divide.
3. If you multiply or divide by a positive number, the direction of the inequality remains the same.
4. If you multiply or divide by a negative number, the direction of the inequality flips. Make sure to reverse the inequality sign.
5. If you multiply or divide by a variable, consider two cases:
a. If the variable is positive, the direction of the inequality remains the same.
b. If the variable is negative, the direction of the inequality flips. Remember to reverse the inequality sign.
Now let's practice with a quiz. I will give you an inequality and guide you through the steps to solve it.
Quiz Question:
Solve the inequality: 2x + 5 < 13
Solution:
Step 1: Identify the inequality type. In this case, it is less than (<).
Step 2: Treat the inequality like an equation and solve normally:
2x + 5 = 13
Subtract 5 from both sides:
2x = 13 - 5
2x = 8
Step 3: Divide by 2 to isolate the variable:
x = 8/2
x = 4
Step 4: Since we didn't multiply or divide by a negative number or variable, the direction of the inequality remains the same.
Therefore, the solution to the inequality 2x + 5 < 13 is x < 4.
That's it! You've successfully solved an inequality using multiplication. If you have more quiz questions or need further clarification, feel free to ask.