Question
Solve 3.5x+19≥1.5x-7
Hint:
Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to solve the inequality.
The correct answer is: x≥-13
Step 1 of 1:
Rearrange and solve the inequality,

Whenever we use the symbol ≤ or ≥ , we use the endpoint as well. We could also solve the inequality by graphing it.
Related Questions to study
Determine whether each graph represents a function ?

We consider the first graph.
We can observe that any vertical line drawn on the graph cuts the line at exactly one point
Hence, this graph represents a function.
The second graph is
Again, we can observe that any vertical line drawn cuts the graph at exactly one point.
Hence, this graph is also a function.
Finally, consider the third graph.
If we draw a vertical line at the origin, that is, the y-axis, we can see that it cuts the graph at two points.
Thus, this graph is not a function.
Determine whether each graph represents a function ?

We consider the first graph.
We can observe that any vertical line drawn on the graph cuts the line at exactly one point
Hence, this graph represents a function.
The second graph is
Again, we can observe that any vertical line drawn cuts the graph at exactly one point.
Hence, this graph is also a function.
Finally, consider the third graph.
If we draw a vertical line at the origin, that is, the y-axis, we can see that it cuts the graph at two points.
Thus, this graph is not a function.
Choose the negative adjectives starting with ' u '
Explanation-Negative adjectives are the word that explains / pronounce negatively.
Choose the negative adjectives starting with ' u '
Explanation-Negative adjectives are the word that explains / pronounce negatively.
Describe the possible values of x.

- Step-by-step explanation:
- Given:
a = x + 11, b = 2x + 10, and c = 5x - 9.
- Step 1:
- First check validity.
According to triangle inequality theorem,
c - b < a < b + c,
(5x – 9) – (2x + 10) < x + 11 < (2x + 10) + (5x – 9)
3x - 19 < x + 11 < 7x + 1
First consider,
x + 11 < 7x + 1,
11 – 1 < 7x - x
10 < 6x
< x,
1.6 < x
Now, consider,
3x - 19 < x + 11
3x - x < 11 + 19
2x < 30
x < ,
x < 15
therefore,
1.6 < x < 15
- Final Answer:
Describe the possible values of x.

- Step-by-step explanation:
- Given:
a = x + 11, b = 2x + 10, and c = 5x - 9.
- Step 1:
- First check validity.
According to triangle inequality theorem,
c - b < a < b + c,
(5x – 9) – (2x + 10) < x + 11 < (2x + 10) + (5x – 9)
3x - 19 < x + 11 < 7x + 1
First consider,
x + 11 < 7x + 1,
11 – 1 < 7x - x
10 < 6x
< x,
1.6 < x
Now, consider,
3x - 19 < x + 11
3x - x < 11 + 19
2x < 30
x < ,
x < 15
therefore,
1.6 < x < 15
- Final Answer:
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.

A quadratic equation is when the polynomial has a degree two. A graph is a geometrical representation of an equation.
We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.
Step 1 of 2:
The given equation is
Re arranging them, we have:
Step 2 of 2:
Graph the quadratic equation:
The solution is
Note:
A quadratic equation can be solved using different identities and even simplifying them.
Write the solutions to the given equation.
Rewrite them as the linear-quadratic system of equations and graph them to solve.

A quadratic equation is when the polynomial has a degree two. A graph is a geometrical representation of an equation.
We are asked to solve the equation graphically by arranging them in a linear-quadratic equation.
Step 1 of 2:
The given equation is
Re arranging them, we have:
Step 2 of 2:
Graph the quadratic equation:
The solution is
Note:
A quadratic equation can be solved using different identities and even simplifying them.
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
- Hints:
- Triangle inequality theorem
- According to this theorem, in any triangle, sum of two sides is greater than third side,
- a < b + c
c < a + b
- while finding possible lengths of third side use below formula
- Step-by-step explanation:
- Given:
a = 5 inches, b = 12 inches.
- Step 1:
- Find length of third side.
c < a + b
∴ c < 5 + 12
c < 17
- Step 2:
b – a < c < a + b
12 – 5 < c < 5 + 12
7 < c < 17
Hence, all numbers between 7 and 17 will be the length of third side.
- Final Answer:
Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.
5 inches, 12 inches
- Hints:
- Triangle inequality theorem
- According to this theorem, in any triangle, sum of two sides is greater than third side,
- a < b + c
c < a + b
- while finding possible lengths of third side use below formula
- Step-by-step explanation:
- Given:
a = 5 inches, b = 12 inches.
- Step 1:
- Find length of third side.
c < a + b
∴ c < 5 + 12
c < 17
- Step 2:
b – a < c < a + b
12 – 5 < c < 5 + 12
7 < c < 17
Hence, all numbers between 7 and 17 will be the length of third side.
- Final Answer:
Identify the common noun in the given sentence
"The mice are afraid of a cat"
Explanation-Mice Words which are used as names of persons, animals, places or things a