Ijust need the answer for this question.

solve the inequality $4(a+6)\ge 5(a+3)$. enter your answer as an inequality with just $a$ on the left side. for example, if the inequality in the problem were true for all negative $a$, then you'd enter "a< 0" (without the quotation marks). if it were true for all $a$ greater than or equal to 3, then you'd enter "a> =3".

you!

a<=9

Step-by-step explanation:

Given inequality:

Solving for

Using distribution.

Subtracting from both sides

Subtracting 15 from both sides.

Swapping sides by reversing signs to get on left side

∴

So, is less than or equal to 9.

Answer : a<=9

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3