353.
ա) [ 4 – 4x < 0; 7x – 1 > 2
[ – 4x < – 4; 7x > 3
[ x > 1; x > 3/7
x ∈ ( 3/7; + ∞ )
բ) [ 2 + 5x ≤ 0; x > 2; 3x = 0
[ 5x ≤ – 2; x > 2; 3x = 0
[x ≤ – 2/5; x > 2; x = 0
x ∈ ( – 2/5; – ∞ ), x ∈ ( 2; + ∞ )
գ) [ 4 – 3x < x; 6 + 6x > 7 – 7x
[ – 3x – x < – 4; 6x + 7x > – 6 + 7
[ – 4x < – 4; 13x > 1
[ 4x > 4; 13x > 1
[ x > 1; x > 1/13
x ∈ ( 1, + ∞ ), x ∈ ( 1/13, + ∞ )
354.
ա) [ 3 ( 1 + x ) — 2 < 5 ( 2 — 5x ) — 3x
[ 2 ( 4 — x ) — 3 > 4x — 7
[3 + 3x — 2 < 10 — 25x — 3xh
[8 — 2x — 3 > 4x — 7
[ 3x + 25x + 3x < 10 — 3 + 2
[ – 2x — 4x > – 7 — 8 + 3
[ 31x < 9
[ – 6x > – 12
[ 31x < 9
[ – 6x < – 12
[ x < 9/31
[ x < 2
բ) [ 2 ( 3y — 1 ) — 1 ≥ 4 — 5y ❌
[ 6y — 6 ≤ 6 ( y — 1 )
[ 6y — 2 — 1 ≥ 4 — 5y
[ 6y — 6 ≤ 6y — 6
[ 6y + 5y ≥ 4 + 2 + 1
[ 6y — 6y ≤ – 6 + 6
[ 11y ≥ 7
[ y ≥ 7/11
գ) [ 3x + 3 > 3 ( x + 1 ) ❌
[ 2x — 2 < 2 ( x — 1 )
[ 3x + 3 > 3x + 1
[ 2x — 2 < 2x — 2
[ 3x — 3x > 1 — 3
[ 2x — 2x < – 2 + 2
դ) [ 4 — 4x ≥ 4 ( 1 — x )
[ 5x + 1 < 5x — 1
[ 4 — 4x ≥ 4 — 4x
[ 5x + 1 < 5x — 1
[ – 4x + 4x ≥ 4 — 4
[ 5x — 5x – 1 — 1
ե) [ 3 ( 2 — z ) — 5z < – 4 ( 27 — 3 ) + z
[ 6 ( z — 3 ) ≥ 4z + 2
[ 6 — 3z — 5z < – 108 + 12 + z
[ 6z — 18 ≥ 4z + 2
[ – 3z — 5z — z < – 108 + 12 — 6
[ 6z — 4z ≥ 2 + 18
[ – 9z < – 90
[ 2z ≥ 20
[ z > 10
[ z ≥ 10
զ) [ x ≤ x + 5
[ 4x — 4 > 3 — 4x
[ x — x ≤ 5
[ 4x + 4x > 3 + 4
[ 0 ≤ 5
[ 8x > 7
Բուդաղյան Քեթրին. 