18 equality. 4(x+1)-2 < 8x-26 Insert Format Tools Table

Distribute 4: Distribute 4 into the parentheses on the left side of the inequality. 4(x+1)-2 < 8x-26 4*x + 4*1 - 2 < 8x - 26 4x + 4 - 2 < 8x - 26Combine like terms: Combine like terms on the left side of the inequality. 4x + 4 - 2 < 8x - 26 4x + 2 < 8x - 26Subtract 4x: Subtract 4x from both sides of the inequality to get the x terms on one side. 4x + 2 - 4x < 8x - 26 - 4x 2 < 4x - 26Add 26: Add 26 to both sides of the inequality to isolate the x term. 2 + 26 < 4x - 26 + 26 28 < 4xDivide by 4: Divide both sides of the inequality by 4 to solve for x. 28/4 < 4x/4 7 < x

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Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. Solve the following inequality.

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4(x+1)-2 < 8x-26

Distribute $4$ : Distribute $4$ into the parentheses on the left side of the inequality. $\newline$ 4(x+1)-2 < 8x-26 $\newline$ 4\times x + 4\times 1 - 2 < 8x - 26 $\newline$ 4x + 4 - 2 < 8x - 26
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ 4x + 4 - 2 < 8x - 26 $\newline$ 4x + 2 < 8x - 26
Subtract $4x$ : Subtract $4x$ from both sides of the inequality to get the $x$ terms on one side. $\newline$ 4x + 2 - 4x < 8x - 26 - 4x $\newline$ 2 < 4x - 26
Add $26$ : Add $26$ to both sides of the inequality to isolate the $x$ term. $\newline$ 2 + 26 < 4x - 26 + 26 $\newline$ 28 < 4x
Divide by $4$ : Divide both sides of the inequality by $4$ to solve for $x$ .\frac{28}{4} < \frac{4x}{4}7 < x