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If l(x)=4 x+1 then l(-6) - l(-5) is.......

If `l(x)=4 x+1` then `l(-6) - l(-5)` is..............`

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To solve the problem, we need to evaluate \( l(-6) - l(-5) \) given that \( l(x) = 4x + 1 \). ### Step-by-Step Solution: 1. **Find \( l(-6) \)**: - Substitute \( -6 \) into the function \( l(x) \): \[ l(-6) = 4(-6) + 1 \] - Calculate: \[ = -24 + 1 = -23 \] 2. **Find \( l(-5) \)**: - Substitute \( -5 \) into the function \( l(x) \): \[ l(-5) = 4(-5) + 1 \] - Calculate: \[ = -20 + 1 = -19 \] 3. **Calculate \( l(-6) - l(-5) \)**: - Now substitute the values we found: \[ l(-6) - l(-5) = -23 - (-19) \] - This simplifies to: \[ = -23 + 19 = -4 \] ### Final Answer: \[ l(-6) - l(-5) = -4 \] ---
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