The absolute value of X + 1 + X-2 is less than or equal to 5 Absolute value of X + 1 absolute value of X-2

The absolute value of X + 1 + X-2 is less than or equal to 5 Absolute value of X + 1 absolute value of X-2

Absolute value (x + 1) + absolute value (X-2) ≥ 5
① When x ≥ 2,
x+1+x-2≥5
2x≥6
x≥3
② When - 1 < x < 2
x+1+2-x≥5
3 ≥ 5, meaningless
④ When x ≤ - 1
-x-1+2-x≥5
2x≤-4
x≤-2

(1) When x = (), the absolute value of X-1 is equal to the absolute value of X-5. (2) when x takes (), the sum of the absolute value of X-1 and the absolute value of X-5 is the smallest

(1) |x-1| = |x-5|

X ^ 2 - absolute value (x) - 6 = 0
Solve the equation. The absolute value is X

If x0, then the original formula is equal to x ^ 2-x-6 = 0, then x = 3. To sum up, x = plus or minus 3