1.
a) ¹/₄ x>1
x>1*4
x>4
x∈(4; +∞)
б) 1-6x≥0
-6x≥ -1
x≤ ¹/₆
x ∈(-∞; ¹/₆]
в) 5(y-1.4)-6<4y-1.5<br> 5y-7-6<4y-1.5<br> 5y-13<4y-1.5<br> 5y-4y< -1.5+13
y< 11.5
y∈(-∞; 11.5)
2.
m+1< 3(m-6)
m+1<3m-18<br>m-3m< -18-1
-2m< -19
m>9.5
m∈(9.5; +∞)
3.
a)
1) 3x-9<0<br> 3x<9<br> x<3<br>
2) 5x+2>0
5x> -2
x> -0.4
{x<3<br>{x> -0.4
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
------- -0.4 ------------- 3 ------------
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(-0.4; 3)
б)
1) 15-x<14<br> -x<14-15<br> -x< -1
x>1
б) 4-2x<5<br> -2x<5-4<br> -2x<1<br> x> -0.5
{x>1
{x> -0.5
\\\\\\\\\\\\\\\\\\\\\
---------- -0.5 -------------- 1 ----------------
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈(1; +∞)