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Solve the inequality. Write the solution set in interval notation and graph it4x + 3 ≥ 3x + 4The solution set in interval notation is_______(Type your answer in interval notation.

Solve the inequality Write the solution set in interval notation and graph it4x 3 3x 4The solution set in interval notation isType your answer in interval notat class=


Answer :

SOLUTION

The inequality given is,

[tex]4x+3\ge 3x+4[/tex]

Evaluate for x

[tex]\begin{gathered} 4x+3-3\ge \:3x+4-3 \\ 4x\ge \:3x+1 \\ \mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides} \\ 4x-3x\ge \:3x+1-3x \\ x\ge \:1 \end{gathered}[/tex]

Hence, the solution set in the inetrval notation is

[tex]\:[1,\:\infty \:)[/tex]

The graph of the inequality is

View image AdryanaR384230

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