Inequalities
![Picture](/uploads/1/5/4/9/15493740/3698890.png)
< means 'less than'
≤ means 'less than or equal to'
> means 'greater than'
≥ means 'greater than or equal to'
≤ means 'less than or equal to'
> means 'greater than'
≥ means 'greater than or equal to'
presenting answers on number lines
![Picture](/uploads/1/5/4/9/15493740/6049602.png?351)
This task tells us to shade in the number lines to represent these inequalities.
As you can see the first question says x is greater than 4 therefore on a number line this is shown as any number from 4 onwards.
You might wonder why some of the circles on the number line are shaded and some are not. This is because the inequality sign with equal to (≥,≤ )
REMEMBER shaded circles are only for equal to signs
As you can see the first question says x is greater than 4 therefore on a number line this is shown as any number from 4 onwards.
You might wonder why some of the circles on the number line are shaded and some are not. This is because the inequality sign with equal to (≥,≤ )
REMEMBER shaded circles are only for equal to signs
Remember practise makes perfect!!
To answer an inequality problem remember to practise time and time again
now i'm going to through a problem which we can work through together
plus check out manga high's inequality game and other math games- there all super awesome!!(link at the bottom of the page)
Questions
eg1(just for fun)
5b+4>64-2b
firstly the value we can substitute from this equation is 2b as we can minus it from both sides remember we need to take away 2b from 5b as they both share the same unknown (g)
5b+4>64-2b
-2b -2b
this equals 3b+4>64
now we look for some other number to substitute which is 4
4 is positive but we need to move it to the other side of the equation so we can minus (that changes its symbol into +4 into -4)it from 64
therefore the equation looks like this:3b>64-4
the equation stands as 3b>60
now get from 3b to b we divide by 3 so we have to divide 60 by 3 also which equals 20
Therefore the answer is b>60
this shows that b can be any number greater than 20
now i'm going to through a problem which we can work through together
plus check out manga high's inequality game and other math games- there all super awesome!!(link at the bottom of the page)
Questions
eg1(just for fun)
5b+4>64-2b
firstly the value we can substitute from this equation is 2b as we can minus it from both sides remember we need to take away 2b from 5b as they both share the same unknown (g)
5b+4>64-2b
-2b -2b
this equals 3b+4>64
now we look for some other number to substitute which is 4
4 is positive but we need to move it to the other side of the equation so we can minus (that changes its symbol into +4 into -4)it from 64
therefore the equation looks like this:3b>64-4
the equation stands as 3b>60
now get from 3b to b we divide by 3 so we have to divide 60 by 3 also which equals 20
Therefore the answer is b>60
this shows that b can be any number greater than 20