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NAME DATE PERIOD Lesson 8 Homework Practice Solve Twisted Inequalities Solve each inequality. Graph the solution set on a number line. 1. 4x 3 90112. 11 1 2×2345673. 2 + 2x 161x 5. 7 +4Copyright
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01
Start by identifying the inequality symbol in the given equation. It can be either < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
02
Treat the inequality symbol as an equal sign and solve the equation algebraically to find the value of the variable.
03
Draw a number line and mark the found solution on it. Use an open circle for < and > symbols, and a closed circle for ≤ and ≥ symbols to represent whether the value is included or excluded from the solution set.
04
Determine the direction to shade on the number line based on the given inequality symbol. If the symbol is < or >, shade in the direction away from the marked point. If the symbol is ≤ or ≥, shade towards the marked point.
05
Write the final solution as an interval or a union of intervals, depending on the inequality symbol.
06
For example, if the inequality is x + 2 > 5, solve for x, mark the solution 3 on the number line with an open circle, shade towards the left, and write the final solution as x > 3.

Who needs solve each inequality formn?

01
Solving inequalities is important for various fields and situations such as:
02
- Mathematics students and teachers who need to understand and solve inequalities in algebra and calculus.
03
- Engineers and scientists who deal with optimization problems where inequalities play a crucial role.
04
- Economists and financial analysts who analyze and model economic inequalities and inequalities related to investment portfolios.
05
- Statisticians who need to interpret and analyze data using inequalities.
06
- Individuals preparing for standardized tests such as the SAT or ACT, which include inequality solving questions.
07
- Anyone who wants to improve their problem-solving skills and logical reasoning abilities.
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Solve each inequality formn is a mathematical form that helps in finding the solutions for various inequalities.
Students, teachers, and professionals who work with inequalities may be required to fill out solve each inequality formn.
To fill out solve each inequality formn, you need to identify the inequality, solve for the variable, and express the solution in interval notation or set notation.
The purpose of solve each inequality formn is to find the set of values that satisfy the given inequality.
On solve each inequality formn, you need to report the inequality statement, the variable being solved for, and the solution set.
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