QuestionAugust 25, 2025

-5-(14x-1)lt 2(7x-16) A) xlt -1 the 4^th of July B) xgt -1 Friday night C) xgt 1 Halloween D) xlt 1 Valentine's Day E) xgt -4 the last day of school

-5-(14x-1)lt 2(7x-16) A) xlt -1 the 4^th of July B) xgt -1 Friday night C) xgt 1 Halloween D) xlt 1 Valentine's Day E) xgt -4 the last day of school
-5-(14x-1)lt 2(7x-16)
A) xlt -1
the 4^th of July
B) xgt -1
Friday night
C) xgt 1
Halloween
D) xlt 1
Valentine's Day
E) xgt -4	the last day of school

Solution
4.2(259 votes)

Answer

D) x \lt 1 Valentine's Day Explanation 1. Simplify the inequality Distribute and simplify both sides: -5 - 14x + 1 28x. 4. Solve for x Divide by 28: 1 > x, or equivalently, x < 1.

Explanation

1. Simplify the inequality<br /> Distribute and simplify both sides: $-5 - 14x + 1 < 14x - 32$ becomes $-4 - 14x < 14x - 32$.<br />2. Combine like terms<br /> Add $14x$ to both sides: $-4 < 28x - 32$.<br />3. Isolate the variable<br /> Add $32$ to both sides: $28 > 28x$.<br />4. Solve for $x$<br /> Divide by $28$: $1 > x$, or equivalently, $x < 1$.
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