When it comes to finding the value of a variable, the process usually involves making sure the variable is alone on one side of an equation. This may necessitate the use of various mathematical techniques such as multiplication, division, addition, or subtraction. The ultimate aim is to identify the exact value that will validate the equation when it replaces the variable.
| Topic | Problem | Solution |
|---|---|---|
| None | \( 4(k-3) \geq 6(1-k) \) | \( 4k - 12 \geq 6 - 6k \) |
| None | \( -4<2 a+6<10 \) | \( -4 - 6 < 2a < 10 - 6 \) |
| None | To rent a certain meeting room, a college charges… | The total cost of renting the meeting room is the sum of the reservation fee and the hourly fee tim… |
| None | Select the values that make the inequality $d \ge… | Given the inequality: \(d \geq 3\) |
| None | Solve the inequality and express the solution in … | \( 4y - 2 < 18 \) |
| None | $2 x+7 x>9$ | Combine the terms with x: \( 2x + 7x > 9 \Rightarrow 9x > 9 \) |
| None | Zachary can spend no more than $\$ 67$ per day to… | Zachary can spend no more than $67 per day to rent a car. A car rents for $40 per day plus $0.18 pe… |
| None | A phone company offers two monthly charge plans. … | Set up an inequality to represent the situation: \(35 + 0.08m \leq 40.60 + 0.06m\) |
| None | 6. If $2 x-5<x+4$, which of the following is true… | Solve the inequality: \(2x - 5 < x + 4\) |
| None | D) $x$ can be all real numbers 7. If $x+6 \geq 5 … | Solve the inequality \(x+6 \geq 5x-2\) for \(x\) |
| None | Alicia cashed half of her paycheck and set aside … | x/2 - 42.15 > 20 |
| None | Solve the compound inequality. Express your answe… | First, we need to solve the compound inequality. We can do this by breaking it down into two separa… |
| None | tions-inequalities/x2f8bb11595b61c86:compound-ine… | 1) (C) \( 2.75+11.50 S \leq 55 \) |
| None | 너 Google Classroom You might need: 囯 Calculator T… | \( 5 + 2.75 \cdot S \leq 21 \) |
| None | Consider the following linear inequality. \[ 7 y-… | Consider the following linear inequality: \(7y - 5 \geq 8 + 9y\). |
| None | Mary is going to rent a truck for one day. There … | Mary is considering renting a truck for one day from either Company A or Company B. Company A charg… |
| None | David is going to rent a truck for one day. There… | David is considering renting a truck for one day from either Company A or Company B. Company A char… |
| None | Select the values that make the inequality $w \ge… | List the given values: \(-2, 1, 3, 5, 45, 5.99, 5.999, 6, 6.001, 6.01, 6.1, 7, 9, 11, 14\) |
| None | Select the values that make the inequality $s>2$ … | Find the values of s that satisfy the inequality \(s > 2\) |
| None | A cleaning service offers its customers a choice … | Solve the inequality: \(3000 < 75c\) |
| None | Solve the following inequality. \[ \sqrt[3]{4 x^{… | The inequality is \(\sqrt[3]{4 x^{2}-5}>-1\). To solve this inequality, we need to first remove the… |
| None | Teresa is choosing between two exercise routines.… | Set up the inequality: \(39 + 13.75t < 20 + 18.5t\) |
| None | A baseball team had $\$ 1,000$ to spend on suppli… | Solve the inequality: \(185 + 4b \leq 1000\) |
| None | Solve the following inequality and check for extr… | Start by squaring both sides of the inequality to eliminate the square root. Be cautious as this ca… |
| None | How many integers are in the solution of the ineq… | First, consider two cases: (1) $x+4\geq 0$ (or $x\geq -4$), and (2) $x+4<0$ (or $x<-4$). |