а)
х + 4 > 15
x > 15 - 4
x > 11
////////
----------------*------------>
11
х ∈ (11; +∞)
б)
3х - 8 ≥ 16
3х ≥ 16 + 8
3х ≥ 24
х ≥ 8
8
х ∈ (8; +∞]
в)
3(х + 4) - 5(х - 2) > 0
3х + 12 - 5х + 10 > 0
-2х + 22 > 0
-2х > -22
х < 11
/////////
х ∈ (-∞; 11)
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Verified answer
а)
х + 4 > 15
x > 15 - 4
x > 11
////////
----------------*------------>
11
х ∈ (11; +∞)
б)
3х - 8 ≥ 16
3х ≥ 16 + 8
3х ≥ 24
х ≥ 8
////////
----------------*------------>
8
х ∈ (8; +∞]
в)
3(х + 4) - 5(х - 2) > 0
3х + 12 - 5х + 10 > 0
-2х + 22 > 0
-2х > -22
х < 11
/////////
----------------*------------>
11
х ∈ (-∞; 11)