graph

can someone SHOW me how to solve these graphs?2x > -6 and x - 4 < 3

x + 5 > 2x + 1 and -4x < -8

-6 < x + 3 < 6 (Remember this is an "and" statement)

-3x < -6 or x + 5 < -2

x - 2 > 2x + 1 or -10 > -2x - 2

Look at the third.
-6 < x + 3 < 6 (Remember this is an "and" statement)

so x+3 is greater than -6, or
x is greater than -3. So to the right of -3 is allowed, but we have a second conditon: x+3 is les than six. or x is less than 3.

so the allowed solution is between -3 and 3.

I will be happy to critique your thinking on the others.

Look at the third.
-6 < x + 3 < 6 (Remember this is an "and" statement)

so x+3 is greater than -6, or
x is greater than -3. So to the right of -3 is allowed, but we have a second conditon: x+3 is les than six. or x is less than 3.

so the allowed solution is between -3 and 3.

I will be happy to critique your thinking on the others.

1. 👍 0
2. 👎 0
3. 👁 57

Similar Questions

1. technology

What is one of the strengths of line graphs? a) Line graphs show percentage in a whole b) Line graphs show change over time c) Line graphs compare values of individual groups or categories. d) Line graphs always show averages My

asked by StarWars The Force Awakens I Love Star Wars Legos on November 7, 2017
2. Ed Tech Connexus

1.in Microsoft®️ execel graphs are refered to as? a. sparklines b. illustrations c. tables d. charts 2. What is one of the strengths of line graphs? a. line graphs show percentage of a whole b. line graphs show change over time

asked by Girl Gamer on November 14, 2017
3. Math

show that graphs of (x-2x)/(x+2y)=1/3 and (x-y)/(x+y)=3/5 coincide...how do you solve it?

asked by Wenny on January 25, 2008
4. Math

show that graphs of x-2x/x+2y=1/3 and x-y/x+y=3/5 coincide...how do you solve it?

asked by Wenny on January 24, 2008
5. math

Please show me how to solve: For what value of k are the graphs of 12y = -3x + 8 and 6y =kx - 5 parallel? For what value of k are they perpendicular?

asked by Jane on November 17, 2011
6. math

Sketch the graphs of f(x) = x^2 and g(x) = 2x. Find a number a between 0 and 2 so that when the region between the graphs of f and g for 0

asked by algebra on December 31, 2012
7. Math

I'm unsure how to solve this... can someone help me? Match the equation with its graph. −6/7 x - 1/2 y = 3/7 The answers are graphs, so I'll type the coordinates of the graphs here. A.) -1, 4; -6, 4 B.) -1, -4; 4, 6 C.)-4, -6;

asked by Abigail on December 10, 2015
8. english

Can anyone provide me with some statistics or graphs or evidence of how an better security system can increase the number of users for online banking? I need to show this in a form of visual data so graphs or statistics that I can

asked by sarah M on September 21, 2018
9. Math

1. What type of graph does not show the number of times a response was given? (1 point) box-and-whisker plot line plot stem-and-leaf plot bar graph 2. Which of the following types of information is suited for display on a scatter

asked by Anonymous on April 5, 2013