# algebra

posted by .

2x+15 >= 13 and 2x-13 >= -5?
solve and graph
2x+15 >= 13
2x-13 >= -5

what's the solution x >= ?
and how does this appear on a line graph/number line?

• algebra -

2x>/=-2
x >/= -1

2x>/= 8
x >/= 4

x = 4 and everything to the right of x = 4

• algebra -

2X + 15 >= 13.
2X - 13 >= -5
4X + 2 >= 8
Solve for X
4X >= 6
X >= 3 / 2 >= 1 1/2.
Graph the solution:
1. Draw a filled -in circle(dot) on the number line at 1 1/2. This means that X = 1 1/2 is a part of the solution.

2. Starting at the dot, draw a straight line to the right on the number line. Extend this line pass all
numbers on the right of the dot,
which means all real numbers greater
than 1 1/2 are a part of the solution.

If your inequality did not have an
equal sign (x > 1 1/2), the procedure
would have been exactly the same
except the circle would be left open
(o) meaning the 1 1/2 is not a part of
the solution. But all numbers above
1 1/2 is a part of the solution.

## Similar Questions

1. ### Algebra

Solve the conjunction -2<or=a+3<8 Here is my result :5<or = a<5 Graph y>or=2x+1 Given the pair of inequalities y>x+1 y<3/2x+3 graph their solution set Thanks Danielle For the first one, it's probably just a typo, …
2. ### Math

Solve the inequality. Then graph the solution on a number line. -16 is less than or equal to 2x = 8<10 I'm going to assume your problem was meant to be this: -16 ≤ 2x + 8 < 10 If so, start by subtracting 8 on all sides: …
3. ### Math

1)Solve 3+2(1-x)>6 or 2x+14<=8. Graph the solution set on a number line. The number line I'm working with is: -4 -3 -2 -1 0 1 First solution: 3+2-2x>6 5-2x>6 -2x>1 x> -1/2 for the graph, I have an open circle between …
4. ### Math

( / means absolute value) Solve: 3+/2y-1/>=1. Graph the solution set on a number line. The number line I have is: -5 -4 -3 -2 -1 0 1 2 3 4 5 6 First solution: 3+2y-1>=1 2y-4>=1 2y>=5 y>=5/2 I'm stuck b/c I had to correct …
5. ### Algebra

Solve by graphing. Check your solution. y > 2 y > -x + 2 Am I supposed to graph this one on a line or on an actual graph?
6. ### algebra

Solve the following rational inequality. Write the solution in interval notation. Show the number line and breaking points or graph of the polynomial with the part of the graph that is the solution (x-4)(x+2)/(x-3)(x+5) ¡Ü0
7. ### algebra

Solve the following rational inequality. Write the solution in interval notation. Show the number line and breaking points or graph of the polynomial with the part of the graph that is the solution (x-4)(x+2)/(x-3)(x+5) ¡Ü 0
8. ### chemistry help meee

okay so I'm given a graph of a melting profile of a macromolecule, it is a sigmoid "s" curve, which states that a protein is cooperative. I have four choices on what the graph will look like if it is uncooperative. 1) Graph 1- straight …
9. ### Calculus

The function g is defined for x>0 with g(1)=2, g'(x)=sin(x+1/x), and g"(x)=(1-1/x^2)cos(x+1/x). A. Find all values of x in the interval 0.12<=x<=1 at which the graph of g has a horizontal tangent line. B. On what subintervals …
10. ### math

Consider these two tables for Line 1 and Line 2. Line 1: x | y 0 1 3 4 Line 2: x | y 0 0 2 4 (a) Graph Line 1 (already did this) (b) Graph Line 2 on the same graph (already did this) (c) What is the solution to the system?

More Similar Questions