Write an inequality to represent the following:
Any number greater than 5

The given inequalities are as follows:
0.2x – 4 – 2x < -0.4 and 3x + 2.7 < 3
The word used to join them is “and”. So, we have to find the values of x satisfying both the statements.
When the word “and” is used, the values of the variables simultaneously satisfy both the inequalities.
When the word “or” is used, the values of the variables satisfy either of the inequalities.
We will solve the inequalities one by one.
0.2x – 4 – 2x < -0.4
We will take the variables together and solve them first.
0.2x – 2x – 4 < - 0.4
- 1.8x – 4 < - 0.4
We will isolate the variable by adding 4 to both the sides.
-1.8x – 4 + 4 < -0.4 + 4
- 1.8x < 3.6
Now, we will divide both the sides by -1.8. As we are dividing by a negative number, the inequality will flip.

x  >  -2
3x + 2.7 < 3
We will isolate the variable by subtracting 2.7 from both the sides.
3x + 2.7 – 2.7 < 3 – 2.7
3x < 0.3
Dividing both the sides by 3 we get,
x < 0.1
Now, the values satisfying the two inequalities are given as follows:
x > -2
x < 0.1
We can combine the solution and write the intersection of the solution as follow:
-2 < x < 0.1
So, the solution is -2 < x < 0.1.

The area of the right-angled triangle =
=
Inequality representing the area of triangle =

8 < 2(x + 4)
- 8 < 2x + 8
- 16 < 2x
- 8 < x
- 3x + 4 > x - 4
- 3x + 8 > x
8 > 4x
2 > x
So, - 8 < x < 2

Step by step solution:
The compound function representing the area of the rectangle is  35 ≥ A ≥ 25 [given]
Now, 35 ≥ A ≥ 25
35 ≥ 5x ≥ 25      [ A = 5x]
Hence, option(d) is the correct option.

The inequality that is represented by graph 4 is - 2 ≤ x ≤ 5.
Hence, option(d) is the correct option.

The inequality represented by the graph talks about the numbers less than or equal to -4 and greater than or equal to -1.
The inequalities will be x ≤ - 4 and x ≥ - 1
Hence, option(b) is the correct option.

step by step solution:
The compound inequality that represents the given data is - 5 ≤ x ≤ - 1.
Hence, option(d) is the correct option.

The inequality that represents the statement “pick a number between - 3 and 7” is  - 3 < x < 7.
Hence, option(d) is the correct option.

The compound inequality 12 < 2x < 28 involves “and.”
Solving 12 < 2x

6 < x
x > 6
Solving 2x < 28

x < 14
So, the solution of the inequality given is “x > 6 and x < 14” or “6 < x < 14.”

The two inequalities form a compound inequality.
Hence, option(b) is the correct option.

0.6x ≤ 3

x ≤ 5

The closed circle shows that 3 is also included.
The inequality that matches is x ≤ 3.
Hence, option(c) is the correct option.

The statement that best describes the inequality - 6 > - 12 is: -6^o is warmer than -12^o  
Hence, option(c) is the correct option.

We have to find the other name of extreme value in a data set.
The maximum is the other name for the extreme value in a data set.
Hence, the correct option is A.