Questions: Write the solution in interval notation and graph it. 7x + 1 ≤ 8x - 4 [5, ∞) (-∞, -4] [4, ∞) (-∞, 5] (-∞, ∞)

Transcript text: Write the solution in interval notation and graph it. \[ 7 x+1 \leq 8 x-4 \] $[5, \infty)$ $(-\infty,-4]$ $[4, \infty)$ $(-\infty, 5]$ $(-\infty, \infty)$

Solution

Solution Steps

Step 1: Simplify the Inequality

Start with the given inequality: \[ 7x + 1 \leq 8x - 4 \]

Subtract $7x$ from both sides to isolate the variable term on one side: \[ 1 \leq x - 4 \]

Step 2: Solve for $x$

Add 4 to both sides to solve for $x$: \[ 1 + 4 \leq x \] \[ 5 \leq x \]

Step 3: Write the Solution in Interval Notation

The solution $5 \leq x$ can be written in interval notation as: \[ [5, \infty) \]

Final Answer

\[ [5, \infty) \]

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