Advertisements
Advertisements
प्रश्न
3x − 7 > x + 1
उत्तर
\[3x - 7 > x + 1\]
\[ \Rightarrow 3x - x > 1 + 7 \left( \text{ Transposing x to LHS and - 7 to RHS } \right)\]
\[ \Rightarrow 2x > 8\]
\[ \Rightarrow x > 4 \left( \text{ Dividing both sides by 2 } \right)\]
\[\text{ Hence, the solution set of the given inequation is } \left( 4, \infty \right)\]
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ R
Solve: −4x > 30, when x ∈ N
Solve: 4x − 2 < 8, when x ∈ Z
x + 5 > 4x − 10
\[\frac{2\left( x - 1 \right)}{5} \leq \frac{3\left( 2 + x \right)}{7}\]
\[\frac{2x + 3}{4} - 3 < \frac{x - 4}{3} - 2\]
\[\frac{2x + 3}{5} - 2 < \frac{3\left( x - 2 \right)}{5}\]
\[\frac{3}{x - 2} < 1\]
\[\frac{4x + 3}{2x - 5} < 6\]
\[\frac{x - 1}{x + 3} > 2\]
\[\frac{7x - 5}{8x + 3} > 4\]
Solve each of the following system of equations in R.
\[\frac{7x - 1}{2} < - 3, \frac{3x + 8}{5} + 11 < 0\]
Solve the following system of equation in R.
\[\frac{2x + 1}{7x - 1} > 5, \frac{x + 7}{x - 8} > 2\]
Solve each of the following system of equations in R.
\[0 < \frac{- x}{2} < 3\]
Solve \[\frac{1}{\left| x \right| - 3} < \frac{1}{2}\]
Solve \[\frac{\left| x + 2 \right| - x}{x} < 2\]
Mark the correct alternative in each of the following:
If − 3x\[+\]17\[< -\]13, then
Mark the correct alternative in each of the following:
The inequality representing the following graph is
Mark the correct alternative in each of the following:
If \[\left| x + 3 \right|\]\[\geq\]10, then
Solve the inequality, 3x – 5 < x + 7, when x is a natural number.
Solve `(x - 2)/(x + 5) > 2`.
Solve |3 – 4x| ≥ 9.
If |x + 3| ≥ 10, then ______.
If x ≥ –3, then x + 5 ______ 2.
If a < b and c < 0, then `a/c` ______ `b/c`.
If |3x – 7| > 2, then x ______ `5/3` or x ______ 3.
Solve for x, the inequality given below.
|x − 1| ≤ 5, |x| ≥ 2
Solve for x, the inequality given below.
`-5 ≤ (2 - 3x)/4 ≤ 9`
Solve for x, the inequality given below.
4x + 3 ≥ 2x + 17, 3x – 5 < –2
The water acidity in a pool is considerd normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.
The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm then find the minimum length of the shortest side.
If |x + 2| ≤ 9, then ______.
If `(-3)/4 x ≤ – 3`, then x ______ 4.
If `2/(x + 2) > 0`, then x ______ –2.
If x > y and z < 0, then – xz ______ – yz.
