Solve the inequality for real x: 3(x-1)+2(x-2 | vedclass

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Question

(A) Given inequality: $3(x-1)+2(x-2)<5(x+2)$
Expand the terms: $3x-3+2x-4<5x+10$
Combine like terms on the left side: $5x-7<5x+10$
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$x \in \mathbb{R}$

Vedclass · Answer

(A) Given inequality: $3(x-1)+2(x-2)<5(x+2)$
Expand the terms: $3x-3+2x-4<5x+10$
Combine like terms on the left side: $5x-7<5x+10$
Subtract $5x$ from both sides: $-7<10$
Since $-7<10$ is a true statement for all real values of $x$,the solution set is the set of all real numbers,$x \in \mathbb{R}$.

Solve the inequality for real $x$: $3(x-1)+2(x-2) < 5(x+2)$

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