a)3x/2 - 1 > x/4 6x - 4 > 4x 6x - 4x > 4 2x> 4 / :2 x = 2 b) x/3 - 3x/5 ≥ -1 / *5 5x - 9x ≥ -15 4x ≥ -15 c) x - 9/4 - 2(3x-10/3 ≥ 0 x - 9/4 - 6x-1/3 ≥0 x - 9/4 - 2x - 1 > 0 -2x - 21/4 - 1 > 0 -2x - 11/4 > 0 -2 > 11/4 d) 3x - 1/2 - 2x + 1/5 ≤ x + 1/10 x - 5/10 + 2/10 ≤ x + 1/10 x - 3/10 ≤ x + 1/10 0 ≤ 1/10 + 3/10 0 ≤ 4/10 0 ≤ 2/5 e) 2x+1/4 - x ≥ 1-x/2 / *4 2x + 1 - x ≥ 2(1 - x) x + 1 ≥ 2 - 2x x + 2x ≥ 2 - 1 3x ≥ 1 MAM NADZIEJĘ ŻE POMOGŁAM :)))
a) 3x/2 - 1 > x/4 / *4 3x/2 *4 - 1*4 > x/4 * 4 6x - 4 > x 6x - x > 4 5x > 4 b) x/3 - 3x/5 ≥ -1 / *5 5x - 9x ≥ -15 4x ≥ -15 c) x - 9/4 - 2(3x-10/3 ≥ 0 x - 9/4 - 6x-1/3 ≥0 x - 9/4 - 2x - 1 > 0 -2x - 2 1/4 - 1 > 0 -2x - 1 1/4 > 0 -2 > 1 1/4 d) 3x - 1/2 - 2x + 1/5 ≤ x + 1/10 x - 5/10 + 2/10 ≤ x + 1/10 x - 3/10 ≤ x + 1/10 0 ≤ 1/10 + 3/10 0 ≤ 4/10 0 ≤ 2/5 e) 2x+1/4 - x ≥ 1-x/2 / *4 2x + 1 - x ≥ 2(1 - x) x + 1 ≥ 2 - 2x x + 2x ≥ 2 - 1 3x ≥ 1
a)3x/2 - 1 > x/4 6x - 4 > 4x 6x - 4x > 4 2x> 4 / :2 x = 2 b) x/3 - 3x/5 ≥ -1 / *5 5x - 9x ≥ -15 4x ≥ -15 c) x - 9/4 - 2(3x-10/3 ≥ 0 x - 9/4 - 6x-1/3 ≥0 x - 9/4 - 2x - 1 > 0 -2x - 21/4 - 1 > 0 -2x - 11/4 > 0 -2 > 11/4 d) 3x - 1/2 - 2x + 1/5 ≤ x + 1/10 x - 5/10 + 2/10 ≤ x + 1/10 x - 3/10 ≤ x + 1/10 0 ≤ 1/10 + 3/10 0 ≤ 4/10 0 ≤ 2/5 e) 2x+1/4 - x ≥ 1-x/2 / *4 2x + 1 - x ≥ 2(1 - x) x + 1 ≥ 2 - 2x x + 2x ≥ 2 - 1 3x ≥ 1 Powinno być dobrze;)
