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1. Hi i have been doing inequalities on integral maths and im really stuck on a few questions can you help?

1) The solution to the inequality
2x2x3>0
is written in the form
x < p or x > q
p < x < q

.

2) The solution to the inequality
8+2xx2<0
is written in the form
x < p or x > q
p < x < q

and q =

3)The solution to the inequality6x2+x20
is written in the form
xp or xq
pxq

(Give answers as exact whole numbers or decimals, or as fractions in the form a/b).

4)The solution to the inequality

2x2x+1>x24x1
is written in the form
x < p or x > q
p < x < q

(Enter your answers as exact integers or decimals, or as fractions in the form a/b).

x2+(k1)x+4=0
has at least one real root.
The range of possible values of k is written in the form
x < p or x > q
p < x < q
xp or xq
pxq

(Enter your answers as exact integers or decimals, or as fractions in the form a/b).

6)The solution to the inequality

x25x+4>0
is written in the form
x < p or x > q
p < x < q

Mark 1.00 out of 1.00

.(Enter your answers as exact integers or decimals, or as fractions in the form a/b).

Can you help me please, i really dont understand what it's asking me. Would be great if someone could offer answers or step by step answers. Thanks in advance.

ccAnsw
2. (Original post by liverpool204)
Hi i have been doing inequalities on integral maths and im really stuck on a few questions can you help?

1) The solution to the inequality
2x2x3>0
is written in the form
x < p or x > q
p < x < q

.

2) The solution to the inequality
8+2xx2<0
is written in the form
x < p or x > q
p < x < q

and q =

3)The solution to the inequality6x2+x20
is written in the form
xp or xq
pxq

(Give answers as exact whole numbers or decimals, or as fractions in the form a/b).

4)The solution to the inequality

2x2x+1>x24x1
is written in the form
x < p or x > q
p < x < q

(Enter your answers as exact integers or decimals, or as fractions in the form a/b).

x2+(k1)x+4=0
has at least one real root.
The range of possible values of k is written in the form
x < p or x > q
p < x < q
xp or xq
pxq

(Enter your answers as exact integers or decimals, or as fractions in the form a/b).

6)The solution to the inequality

x25x+4>0
is written in the form
x < p or x > q
p < x < q

Mark 1.00 out of 1.00

.(Enter your answers as exact integers or decimals, or as fractions in the form a/b).

Can you help me please, i really dont understand what it's asking me. Would be great if someone could offer answers or step by step answers. Thanks in advance.

ccAnsw
I'd suggest just concentrating on one of these at a time until you get the hang of it!

For Q1, can you factorize the quadratic? Can you see from that which values of x satisfy the inequality? Are the range of values contained in some interval like p < x < q, or are there 2 distinct ranges of values like x < p and x > q?
3. (Original post by liverpool204)
Hi i have been doing inequalities on integral maths and im really stuck on a few questions can you help?
To add to davros, it might be illuminating for you to draw a little sketch of the quadratic in each case, labelling certain key points.

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