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🧮 algebra

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Absolute Value Inequality
1. The problem is to solve the inequality $$5|z| + 3 > 54$$ for the variable $z$. 2. First, isolate the absolute value term by subtracting 3 from both sides:
Problem Unspecified
1. The problem statement is incomplete. Usually, "Solve normally" refers to solving an equation or expression using standard algebraic methods. 2. Please provide the specific equat
Absolute Value Inequality
1. We are given the inequality $$|y + 1| < 55$$ and asked to solve for $y$. 2. Recall that for an absolute value inequality of the form $$|A| < B$$, where $B > 0$, the solution is
Evaluate Expression
1. The problem is to evaluate the expression $$Q_1=L+\frac{\left(\frac{1}{4}N-\text{cfb}\right)}{f_1} i$$ given \(L=23.5\), \(N=50\), \(\text{cfb}=9\), \(f_1=8\), \(i=3\). Here, \(
Solve Absolute
1. The problem states the inequality $4|r| \geq 29$. We need to solve for $r$. 2. First, isolate the absolute value expression by dividing both sides by 4:
Absolute Value Inequality
1. The problem is to solve the inequality $$3|u| + 2 > 29$$ for the variable $$u$$. 2. Begin by isolating the absolute value term.
Absolute Value Inequality
1. **State the problem:** Solve the inequality $$|2c| - 6 \geq 88$$ for $$c$$. 2. **Isolate the absolute value:** Add 6 to both sides:
Adding Multiplying
1. Let's clarify the problem you are referring to about adding 2 and multiplying by 2. 2. Usually, adding 2 then multiplying by 2 means an operation like this: start with a number
Absolute Value Inequality
1. We are given the inequality $$|b + 4| \geq 73$$ and need to solve for the variable $$b$$. 2. Recall that for an absolute value inequality $$|x| \geq a$$ where $$a \geq 0$$, the
Absolute Inequality
1. State the problem: Solve the inequality $$|8d| - 2 \geq 14$$ for $$d$$ and write the answer as a compound inequality. 2. Isolate the absolute value expression:
Line Equations
1. **Rewrite the equation (a) and (b) in standard form**. (a) Given: $2x = 6 - y$
Add Multiply Explanation
1. The problem asks why in step 1 you add 2 and also multiply by 2. 2. Addition means you are increasing the value by 2.
Absolute Value Inequality
1. The problem is to solve the inequality $$| -6q | \geq 12$$. 2. Recall that $$|x| \geq a$$ means $$x \leq -a$$ or $$x \geq a$$ for positive $$a$$.
Absolute Value Inequality
1. **State the problem:** Solve the inequality $$|s - 5| < 8$$. 2. **Understand absolute value inequality:** The inequality $$|s - 5| < 8$$ means the distance between $$s$$ and $$5
Solve Absolute
1. State the problem: Solve the inequality $$2|t| \leq 8$$ for the variable $$t$$. 2. Isolate the absolute value: Divide both sides by 2 to get $$|t| \leq 4$$.
Solve System
1. We are given the system of linear equations: $$
Solve Linear X
1. The problem is to solve the equation $$3 + x - 6 (\Gamma - 7) = -2$$ for $x$. 2. From the provided steps, it seems $\Gamma$ was omitted or treated as such. The equation is simpl
Linear Equations
1. We are given the system of equations: $$2X+3Y=3$$
Linear Equation
1. We are given the linear equation $2X + 3Y = 3$. 2. To express $Y$ in terms of $X$, isolate $Y$ by subtracting $2X$ from both sides:
Fruit Equations
1. **State the problem:** We have the following equations where each fruit symbolizes a variable: $$
Fruit Sums
1. Let's define the variables: - Let $G$ = grapes