Read the sentence and choose the verb that best completes the sentences.
The teachers                       the papers.

Which of the following Compound inequalities have the solution x < 3, select all that apply.

You can also follow these steps to solve the compound inequality with the equation for example: 3x + 5 < 6:
Subtract 5 from both sides.
3x + 5 - 5 < 6 - 5
Simplify and subtract the numbers.
And we get, 3 x < 1
Divide both sides by the same factor.
3x/3 < 1/3
Cancel terms that are in both the numerator and denominator.
and the solution is x < 1/3.

If a man is 6 ft. tall and he casts a shadow that is 3 ft. long, what is the distance from the top of the man's head to the end of his shadow?

Lucy plans to spend between $50 and $ 65, inclusive on packages of charms. If she buy 5 packages of beads at $4.95 each, how many packages of charms at $6.55 can lucy buy while staying within her budget?

When two simple inequalities are combined, the result is a compound inequality. For example, a sentence with two inequality statements connected by the words "or" or "and" is a compound inequality. The conjunction "and" denotes the simultaneous truth of both statements in the compound sentence. So it is when the solution sets for the various statements cross over or intersect. E.g., for "AND": Solve the statement where x: 3 x + 2 < 14 and 2 x – 5 > –11. The solution set is
{ x| x > –3 and x < 4}. All the numbers present to the left of 4 are denoted by x < 4, and the numbers to the right of -3 are represented by x > -3. The intersection of these two graphs is comprised of all integers between -3 and 4.

Solve 3(2x-5) >15 and 4(2x-1) >10

A 2.5m long ladder leans against the wall of a building. The base of the ladder is 1.5m away from the wall. What is the height of the wall?

Solve 0.5x-5 > -3 or +4 < 3 , graph the solution

Solve x-6 ≤ 18 and 3-2x ≥ 11, and graph the solution.

Write a compound inequality for each graph:

Solve 2x-3 > 5 or 3x-1 < 8 , graph the solution.

A compound inequality is a clause that consists of two inequality statements connected by the words "or" or "and." The conjunction "and" indicates that the compound sentence's two statements are true simultaneously. It is the point at which the solution sets for the various statements overlap or intersect.
¶A type of inequality with two or more parts is a compound inequality. These components may be "or" or "and" statements. If your inequality reads, "x is greater than 5 and less than 10," for instance, x could be any number between 5 and 10.

If a man goes 15 m due north and then 8 m due east, then his distance from the starting point is ……..

Write a compound inequality for each graph:

Consider the solutions of the compound inequalities.
4 < x < 8     2 < x < 11
Describe each solution as a set. Is one set a subset of the other? Explain your answer.

A compound inequality is a sentence that contains two inequality statements separated by the words "or" or "and." The term "and" indicates that both of the compound sentence's statements are true simultaneously. The intersection of the solutions of two inequalities joined by the word and the solution of a compound inequality. All of the solutions having the two inequalities in common are the solutions to a compound inequality, where the two graphs overlap, as we saw in the previous sections.
¶The graph of a compound inequality with a "and" denotes the intersection of the inequalities' graphs. If a number solves both inequalities, it solves the compound inequality. It can be written as x > -1 and x < 2 or as -1 < x < 2.
¶Graph the compound inequality x > 1 AND x ≤ 4.

Describe and correct the error a student made graphing the compound inequality x>3 or x <-1

Solve -24 < 4x-4 < 4. Graph the solution.

Let a and b be real numbers. If a = b, how is the graph of x > a and x > b different from the graph of x > a or x > b

When the two expressions are not equal and related to each other, known as inequality. They are denoted by a sign like ≠ “not equal to,” > “greater than,” or < “less than.”.
If a and b have polynomial equations, then there will be a curve between a and b:
- [ b < x < a ]
It will be a line between a and b x > a and x < b if the equations for a and b are linear.
b < x < a