1.Selesaikanlah persamaan berikut!

a. |2x+1|-5=3
b. 2/3 |2x+1=4

2.Selesaikanlah pertidaksamaan berikut dan gambarlah himpunan penyelesaiannya!
a. |x-20|>6
b. |2x-3|≥5

3.Selesaikanlah persamaan berikut periksa penyelesaiannya!
a. |x²-9|=5

1.Selesaikanlah persamaan berikut!

$1a. : |2x + 1| - 5 = 3 \ |2x + 1| = 3 + 5 \ |2x + 1| = 8$

$2x + 1 = 8 \ 2x = 8 - 1 \ 2x = 7 \ x = frac{7}{2} \ atau$

$- (2x + 1) = 8 \ - 2x - 1 = 8 \ - 2x = 8 + 1 \ - 2x = 9 \ x = - frac{9}{2}$

$b. : frac{2}{3} |2x + 1| = 4 \ frac{3}{2} times frac{2}{3} |2x + 1| = frac{3}{2} times 4 \ |2x + 1| = 3 times 2 \ |2x + 1| = 6$

$2x + 1 = 6 \ 2x = 6 - 1 \ 2x = 5 \ x = frac{5}{2} \ atau \$

$- (2x + 1) = 6 \ - 2x - 1 = 6 \ - 2x = 6 + 1 \ - 2x = 7 \ x = - frac{7}{2}$

$2a. : |x - 20| > 6 \ x - 20 > 6 \ x > 6 + 20 \ x > 26 \ atau$

$- (x - 20) > 6 \ - x + 20 > 6 \ - x > 6 - 20 \ - x > - 14 \ x < 14$

$b. : |2x - 3| geqslant 5 \ 2x - 3 geqslant 5 \ 2x geqslant 5 + 3 \ 2x geqslant 8 \ x geqslant 4 \ atau$

$- (2x - 3) geqslant 5 \ - 2x + 3 geqslant 5 \ - 2x geqslant 5 - 3 \ - 2x geqslant 2 \ - x geqslant 1 \ x leqslant - 1$

$3a. : | {x}^{2} - 9 | = 5 \ {x}^{2} - 9 = 5 \ {x}^{2} = 5 + 9 \ {x}^{2} = 14 \ x = - sqrt{14} \ x = sqrt{14} \ atau$

${x}^{2} - 9 = - 5 \ {x}^{2} = - 5 + 9 \ {x}^{2} = 4 \ x = - 2 \ x = 2$