Answer:
39
Step-by-step explanation:
Answer:
x<8
Step-by-step explanation:
-x>-1-7
-x>-8
Flip signs due to negative
x<8
Interval notation is (-oo,8)
Answer:
1. Absolute value
: d. | - 7| = 7
2. All real numbers
: b. 3x = 3x
3. x = -5 : c. 5x = -25
4. No solution
: a. |2x| = -10
5. Adding the opposite to both sides of the equation.
: e. Canceling
Step-by-step explanation:
1. Absolute value
: d. | - 7| = 7
The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.
2. All real numbers
: b. 3x = 3x
If we divide both sides by 3, we have x = x, which will always be true.
3. x = -5 : c. 5x = -25
If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25
4. No solution
: a. |2x| = -10
The result of an absolute value cannot be a negative number. So, that has no solution since there's no value of x that would make this true.
5. Adding the opposite to both sides of the equation.
: e. Canceling
If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).
2x-3y=7
-3y = -2x+7
y= 2x/3-7/3
slope of 2/3 (rise 2, run 3)
y-intercept of -7/3
Would be a positive line, starting low on left and rising towards right
Answer:
x = (a - 2w)/2
Step-by-step explanation:
a = 2x + 2w
a - 2w = 2x
(a - 2w)/2 = x