Answer:
x=-1
Step-by-step explanation:
4(x−3)=8(x−1)
Distribute
4x - 12 = 8x -8
Subtract 4x
4x-12 -4x= 8x-8-4x
-12 = 4x-8
Add 8 to each side
-12+8 = 4x-8+8
-4 = 4x
Divide by 4
-4/4 = 4x/4
-1 =x
No because
15b + 4 = 25.6
15b = 21.6
b = 1.44
0.6+15b+4 = 25.6
4.6 + 15b = 25.6
15b = 21
b = 1.4
The answers are not the same therefore they are not equivalent.
Answer:
The required inequality is: 12 ≤ 3x < 21
Step-by-step explanation:
We are given: three times a number is greater than or equal to 12 and less than 21
We need to answer following questions:
1) The inequality translated in numerical form
Let number = x
12 ≤ 3x < 21
2) Your work solving the inequality
We need to find value of x. Divide the inequality by x
4 ≤ x < 7
3) The solution graphed on a number line
It is shown in figure attached.
4) The solution in set notation
The set notation is: Considering x belongs to natural numbers N
{∀ x|x∈N, 4 ≤ x < 7}
5) The solution in interval notation
The interval notation is: [4,7)
because we have 4 less than equal to x and x is less than 7