1. Let's start by understanding what linear equations and inequalities are. 2. A linear equation is an equation of the form $ax + b = 0$, where $a$ and $b$ are constants and $x$ is the variable. 3. To solve a linear equation, isolate $x$ by performing inverse operations. For example, for $2x + 3 = 7$, subtract 3 from both sides to get $2x = 4$, then divide both sides by 2 to get $x = 2$. 4. A linear inequality is similar but uses inequality signs like $<$, $>$, $\leq$, or $\geq$. For example, $2x + 3 > 7$. 5. To solve linear inequalities, use the same steps as equations but remember: if you multiply or divide by a negative number, reverse the inequality sign. 6. Graphing linear equations involves plotting the line $y = mx + c$, where $m$ is the slope and $c$ is the y-intercept. 7. For example, $y = 2x + 1$ has slope 2 and y-intercept 1. Plot the point (0,1) and use the slope to find another point. 8. Graphing linear inequalities means shading the region above or below the line depending on the inequality. 9. For $y > 2x + 1$, graph the line $y = 2x + 1$ (usually dashed for strict inequalities) and shade above it. 10. To apply these concepts to real life, translate the problem into equations or inequalities, solve them, and interpret the results. Example: If you earn 15 per hour and want to earn more than 120, solve $15x > 120$ to find $x > 8$ hours. This means you need to work more than 8 hours to earn over 120.