4.

<-8
First, you can multiply both sides of the inequality by 2 to cancel out the fraction to get:
w+3<-16
Then subtract 3 from both sides to get:
w<-19
Above is your answer
5. h≤
Like we did in the first one, multiply by 5 on both sides to get:
5h≤6h+3
Then subtract 6h from both sides to get
-1h≤3
Divide by -1 into both sides, and when you divide or multiply an inequality by a negative number, you flip the sign, so you would get
h≥-3
Above is your final answer
Hope this helped!
Part (a)
Let's replace x with 15 and evaluate to see if he is correct or not.
x/2 - 3 = 6
15/2 - 3 = 6
7.5 - 3 = 6
4.5 = 6
We get a false statement after simplifying everything. We need to get the same number on both sides to get a true statement. Therefore, Ahmed is not correct.
<h3>Answer: No, he is not correct</h3>
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Part (b)
Let's solve for x. We do so by first adding 3 to both sides, and then multiplying both sides by 2. This follows PEMDAS in reverse, undoing everything to isolate the variable.
x/2 - 3 = 6
x/2 = 6+3 .... add 3 to both sides
x/2 = 9
x = 9*2 .... multiply both sides by 2
x = 18 is the answer
As a check, we'll use the same idea as part (a)
x/2 - 3 = 6
18/2 - 3 = 6
9 - 3 = 6
6 = 6
We get a true statement this time. This confirms x = 18
<h3>Answer: x = 18</h3>
Answer:
x= -10 1/5 or -10.2
Step-by-step explanation:
Answer:
(n-7) ≤ 95
Step-by-step explanation:
We need to write the expression for the given statement.
Seven less than the product of a number n and 1 means (n-7).
It is no more than 95. No more than 95 means less than or equal to i.e.
(n-7) ≤ 95
Hence, the above inequality shows the given statement.
1. This triangle is scalene.
2. This triangle is isosceles. Two angles are equal.
3. This triangle is equilateral, all sides are equal.
4. This triangle is equilateral, all angles are equal.