solve inequality give answer in interval notation and graph

Question

solve inequality give answer in interval notation and graph

 

x+3(2-x)greater than or equal to 7

Answer 1

x + 3(2-x) ≥ 7

 

Distribute (multiply) the 3 across the terms in the parentheses:

 

x + 6 - 3x ≥ 7

 

Subtract 6 from both sides and combine like terms:

 

-2x ≥ 1

 

Divide both sides by -2.  When we multiply or divide an inequality by a negative number, we flip the inequality; in this case, from ≥ to ≤:

 

x ≤ -1/2

 

In interval notation:

 

(-∞,-1/2]