Answer:
<u>-4 < x < -2</u>
Step-by-step explanation:
Taking the left part of the inequality :
Taking the right part of the inequality :
Solution :
Answer:
The lines do not intersect, it is parallel therefore there is no solution.
Step-by-step explanation:
Answer:
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
Step-by-step explanation:
When f(x) = f(x - 4), 3x² = 3(x - 4)².
=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.
The x-value is 2.