MATERI: SPLTV TOLONG JAWAB PLEASE, SOALNYA AKAN DI CEK GURU.PAKAI CARA YA!!​

Nomor 1

√(2 – x) < 1

Bahasan

2 – x ≥ 0

-x ≥ -2

x ≤ 2

√(2 – x) < 1

2 – x < 1

-x < 1 – 2

-x < -1

x > 1

HP = 1 < x ≤ 2

Nomor 2

[(x² – 4x + 3) / (x² – 4x – 10)] ≤ 0

A. x² – 4x – 10 ≠ 0

<=> x² – 4x ≠ 10

<=> (x – 2)² ≠ 10 + 4

<=> (x – 2)² ≠ 14

<=> x – 2 ≠ ±√14

<=> x ≠ 2 ± √14

<=> x ≠ 2 – √14 atau x ≠ 2 + √14

B. [(x² – 4x + 3) / (x² – 4x – 10)] ≤ 0

→ [(x – 1)(x – 3) / (x – (2 – √14))(x – (2 + √14))] ≤ 0

Pembuat nol

x = 1

x = 3

x = 2 – √14 ….. (√14 ≈ 3,…) → x ≈ -1,…

x = 2 + √14 …. (√14 ≈ 3,…) → x ≈ 5

Interval

=== (2 – √14) === (1) ==== (3) === (2 + √14) ===

HP = (2 – √14) < x ≤ 1 atau 3 ≤ x < (2 + √14)