1 Answer

Dopexxx · Answer 1 · 2023-10-17T12:46:31+0000

Answer:

(- ∞, 4)

Explanation:

$(3)/(4)z-2\: < \:-(3)/(4)z\:+\:4$

Add 2 to both sides:

(3)/(4)z-2+2 < -(3)/(4)z+4+2

$\rightarrow (3)/(4)z < -(3)/(4)z+6$

Add
(3)/(4)z to both sides

(3)/(4)z+(3)/(4)z < -(3)/(4)z+6+(3)/(4)z

$(3)/(2)z < 6\\\\\\$

$\rightarrow z < 6 \cdot (2)/(3)\\\\z < 4$

There is no lower limit on z so we get the soluton as

-∞ < z < 4

which in interval notation is

(-∞ , 4)

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