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= -11 < 2x + 7 < 11
= -11-7 < 2x < 11-7
= -18 < 2x < 4
= -9 < x < 2
2. |2x+3|≤|x-2|
Kedua ruas dikuadratkan
Maka,
4x²+12x+9 ≤ x²-4x+4
3x²+16x+5 ≤ 0
(3x+1)(x+5) ≤ 0
Untuk x > 0
3x + 1 > 0
3x > -1
x > -1/3
Untuk x < 0
x + 5 < 0
x < -5
Hp = { -1/3 < x < -5 }
3. |x-2|>3
= -3 > x-2 > 3
= -3+2 > x > 3+3
= -1 > x > 6