Question

if x e z, find the solution set of -4(x+5)>10​

Answer 1

Answer :-

• The solution set = { x ∈ Z : x > -15/2 }

Step-by-step explanation :-

To Find :-

• The solution set of the inequation

Solution :-

⟹ -4 ( x + 5 ) > 10

⟹ -4x - 20 > 10

⟹ -4x > 10 + 20

⟹ -4x > 30

⟹ -4x * ( -1 ) > 30 * ( -1 )

⟹ 4x > -30

⟹ x > -30/4

⟹ x > -15/4

The required number is -15/4.

According the question,

The solution set of -4( x + 5 ) > 10 is,

• { x ∈ Z : x > -15/2 }

More Information

Some more information related to linear inequation :-

We should use these following notations on:

• N = Set of all natural numbers
• Z = Set of all integers
• W = Set of all whole numbers
• Q = Set of all rational numbers
• Z^+ = Set of all postive integers
• Z^- = Set of all negative integers.