Solve for s. 1 < -1(s - 6) ______

Subtract 6: Now we have the inequality 1 < -s + 6. To isolate the variable s, we should move all terms involving s to one side and the constant terms to the other side. Let's subtract 6 from both sides of the inequality. 1 - 6 -s / -1 This simplifies to 5 > s, which can also be written as s < 5.

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Algebra 1

Solve advanced linear inequalities

Full solution

Q. Solve for

s

\newline

1 < -1(s - 6)

Subtract $6$ : Now we have the inequality 1 < -s + 6. To isolate the variable $s$ , we should move all terms involving $s$ to one side and the constant terms to the other side. Let's subtract $6$ from both sides of the inequality. $\newline$ 1 - 6 < -s + 6 - 6 $\newline$ This simplifies to -5 < -s.
Multiply by $-1$ : To solve for $s$ , we need to get rid of the negative sign in front of $s$ . We can do this by multiplying or dividing both sides of the inequality by $-1$ . Remember that when we multiply or divide both sides of an inequality by a negative number, we must reverse the direction of the inequality. $\newline$ -\frac{5}{-1} > -\frac{s}{-1} $\newline$ This simplifies to 5 > s, which can also be written as s < 5.