For the inequality, decide whether the solution is represented by x <2.5 OR x >2.5. -25 > -5(x+2.5)

To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.

-25 > -5x - 12.5

Now add 12.5 to both sides of the equation.

-25 + 12.5 > -5x - 12.5 + 12.5

-12.5 > -5x

Now divide -12.5 by -5 to get the answer.

-12.5 ÷ -5 is 2.5

You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.

So, the real answer is 2.5 < x, or x > 2.5.

the answer is: the length is 5/6 yards.

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step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1