Part A
Step-by-step explanation:
4x − 1 ≤ 19 is the same as
4 times 5 minus 1 = 19
So 19 ≤ 19
The symbol ≤ means that the number on the left of the sign is smaller OR EQUAL TO the number on the right
19 is not smaller than 19 but is equal to 19
The symbol < means only that the number on the left is smaller than the number on the right
Part B
Answer:
9
Step-by-step explanation:
5x + 2 = 47
We need the x ( which is the unknown number) to be by its self on one side of the equation ( or the equal sign)
The equation expanded is:
5 * x + 2 = 47 (the symbol * is the times symbol)
Firs we can move the 2 to the other side by taking away the two from the left of the equation and moving it to the right
5x + 2 = 47
-2 -2
To take away the two on the left of the equation we do 2-2 which is 0. And whatever we do on one side of the equation we have to do on the other so 47-2 which is 45
Now the equation looks like:
5x = 45
Now remember that 5x is actually 5 times x
So
5 * x = 45
Now we need to have only x on the left side so we need to move the 5 to the right
To do this we have to make * 5 turn into 0
The opposite of times is divide so we divid the 5 by 5
5/5= 0
Now we do the same on the other side of the equation
5x = 45
5x/5 = 45/5
x = 9
So now x is by its self we can see x = 9
So the answer is
9
