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Question

(A) Given inequality: $5y - 3 \leq 12$. Step $1$: Simplify the inequality. $5y \leq 12 + 3$ $5y \leq 15$ $y \leq 3$. Step $2$: Draw the line $y = 3$ i

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The region below the line $y = 3$ including the line.

Vedclass · Answer

(A) Given inequality: $5y - 3 \leq 12$. Step $1$: Simplify the inequality. $5y \leq 12 + 3$ $5y \leq 15$ $y \leq 3$. Step $2$: Draw the line $y = 3$ in the Cartesian plane. Since the inequality is $\leq$,the line is solid. Step $3$: Test a point $(0, 0)$. Since $0 \leq 3$ is true,the solution region is the half-plane containing the origin. Thus,the solution is the region below the line $y = 3$ including the line itself.

Solve the following inequality graphically in a two-dimensional plane: $5y - 3 \leq 12$.

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