Question

Solve each inequality. $$ 2 z+5 \geq 1475 $$

   Solve each inequality.
$$
2 z+5 \geq 1475
$$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 2, Problem 65

Instant Answer

Solved by Expert Jessica Harter

02/28/2020

Step 1

This gives us: $$ 2z \geq 1475 - 5 $$ Show more…

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Solve each inequality. $$ 2 z+5 \geq 1475 $$

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Key Concepts

Linear Inequality

A linear inequality is similar to a linear equation but instead of an equality, it involves an inequality sign (such as ?, ?, >, or <). The primary goal is to find all values of the variable that satisfy the inequality.

Isolating the Variable

Isolating the variable involves using inverse arithmetic operations to remove constants and coefficients from the variable term. This step simplifies the inequality and helps in determining the range of values that make the inequality true.

Properties of Inequalities

Properties of inequalities include rules that allow the addition, subtraction, multiplication, and division of both sides of an inequality by the same positive or negative constant, while maintaining the logical integrity of the inequality. Special care must be taken when multiplying or dividing both sides by a negative number, as this reverses the direction of the inequality.

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