Q.
[tex]5x - 3 < 3x + 1 \leqslant 5x + 9[/tex]
HP = ...︎ ︎ ︎︎ ︎ ︎︎ ︎ ︎
[tex]5x - 3 < 3x + 1 \leqslant 5x + 9[/tex]
HP = ...︎ ︎ ︎︎ ︎ ︎︎ ︎ ︎
¤ [ Soal ] ¤
5x - 3 < 3x + 1 ≤ 5x + 9
HP = ...
¤ [ Penyelesaian ] ¤
≈ 5x - 3 < 3x + 1 ≤ 5x + 9
≈ 3x + 1 > 5x - 3
≈ 3x + 1 ≤ 5x + 9
≈ 3x - 5x > -3 - 1
≈ -2x > -4
≈ x < 2 ( 1 )
≈ 3x - 5x ≤ 9 - 1
≈ 2x ≤ 8
≈ x ≥ -4 ( 2 )
≈ x{ -4,2 )
atau
-4 ≤ x < 2
¤ [ Jawaban ] ¤
= x{ -4,2 )
atau
= -4 ≤ x < 2
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– { < @nadyafitri200 > } –
Jawaban:
-4 ≤ x < 2
Penjelasan dengan langkah-langkah:
5x - 3 < 3x + 1 ≤ 5x + 9
3x + 1 > 5x - 3
3x + 1 ≤ 5x + 9
3x - 5x > -3 - 1
-2x > -4
x < 2 (1)
3x - 5x ≤ 9 - 1
-2x ≤ 8
x ≥ -4 (2)
x{ -4,2)
atau
-4 ≤ x < 2