Q. 95.0( 1 Vote )
Solve the following linear inequations in R
–(x – 3) + 4 < 5 – 2x
Answer :
Given –(x – 3) + 4 < 5 – 2x
⇒ –x + 3 + 4 < 5 – 2x
⇒ –x + 7 < 5 – 2x
⇒ –x + 7 – 7 < 5 – 2x – 7
⇒ –x < –2x – 2
⇒ –x + 2x < –2x – 2 + 2x
∴ x < –2
Thus, the solution of the given inequation is (–∞, –2).
Rate this question :












Solve each of the following system of inequations in R
4x – 1 ≤ 0, 3 – 4x < 0
RD Sharma - MathematicsSolve each of the following system of inequations in R
x – 2 > 0, 3x < 18
RD Sharma - MathematicsSolve each of the following system of inequations in R
2x + 5 ≤ 0, x – 3 ≤ 0
RD Sharma - MathematicsSolve each of the following system of inequations in R
2x – 7 > 5 – x, 11 – 5x ≤ 1
RD Sharma - MathematicsSolve each of the following system of inequations in R
11 – 5x > –4, 4x + 13 ≤ –11
RD Sharma - MathematicsSolve each of the following system of inequations in R
3x – 6 > 0, 2x – 5 > 0
RD Sharma - MathematicsSolve each of the following system of inequations in R
, 2(2x + 3) < 6(x – 2) + 10
Solve each of the following system of inequations in R
Solve each of the following system of inequations in R
Solve each of the following system of inequations in R
2(x – 6) < 3x – 7, 11 – 2x < 6 – x
RD Sharma - Mathematics