simplifying expressions in inequalities-6x+22 1/4+2x>9 3/4 +16 1/2i did this equation but when i plug in the numbers for x, it's false. the answer i got on the inequality is x<-1

Step-by-step explanation:

Given

Required

Solve for x

Collect Like Terms

Convert all fractions to improper fractions

Take LCM

Divide through by -4; When an inequality is divided by a negative number, the inequality changes.

Convert to improper fraction

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet