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Question
Class 11MathematicsLinear Inequalities

Solve and graph the solution of 5 – 3x & ≤ & 13 + x.

Verified Answer

Subtract 5 from both sides, 5 − 3x < 13 + x

⇒ −3x < 8 + x

Subtract x from both sides, i.e. −4x < 8

Uploaded image

Divide both sides by −4 and change the direction of the inequality, we get

x > −2   [We divided by a negative]

i.e. x ≥ −2

Closed circle at −2, since x can be equal to −2, and an arrow to the right because we want values greater than −2.

Solve and graph the solution of 5 – 3x &amp; ≤ &amp; 13 + x. | Shiksha Nation