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Q 1. If {tex} x {/tex} is real number and {tex} | x | < 3 , {/tex} then
{tex} x \geq 3 {/tex}
{tex} - 3 < x < 3 {/tex}
{tex} x \leq - 3 {/tex}
{tex} - 3 \leq x \leq 3 {/tex}
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Q 2. Given that {tex} x ,\ y {/tex} and {tex} b {/tex} are real numbers and {tex} x < y ,\ b < 0 , {/tex} then
{tex} \frac { x } { b } < \frac { y } { b } {/tex}
{tex} \frac { x } { b } \leq \frac { y } { b } {/tex}
{tex} \frac { x } { b } > \frac { y } { b } {/tex}
{tex} \frac { x } { b } \geq \frac { y } { b } {/tex}
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Q 3. Solution of a linear inequality in variable {tex} x {/tex} is represented on number line is
{tex} x \in ( - \infty , 5 ) {/tex}
{tex} x \in ( - \infty , 5 ] {/tex}
{tex} x \in [ 5 , \infty ) {/tex}
{tex} x \in ( 5 , \infty ) {/tex}
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Q 4. If {tex} | x + 3 | \geq 10 {/tex}, then
{tex} x \in ( - 13,7 ] {/tex}
{tex} x \in ( - 13,7 ) {/tex}
{tex} x \in ( - \infty , 13 ] \cup [ - 7 , \infty ) {/tex}
{tex} x \in ( - \infty , - 13 ] \cup [ 7 , \infty ) {/tex}
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Q 5. Let {tex}\mathrm{ \frac { C } { 5 } = \frac { F - 32 } { 9 } } {/tex}. If {tex}\mathrm C {/tex} lies between {tex}10{/tex} and {tex}20{/tex}, then :
{tex} 50 < \mathrm{ F } < 78 {/tex}
{tex} 50 < \mathrm { F } < 68 {/tex}
{tex} 49 < \mathrm{ F } < 68 {/tex}
{tex} 49 < \mathrm { F } < 78 {/tex}
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Q 6. The solution set of the inequality {tex} 4 x + 3 < 6 x + 7 {/tex} is
{tex} [ - 2 , \infty ) {/tex}
{tex} ( - \infty , - 2 ) {/tex}
{tex} ( - 2 , \infty ) {/tex}
None of these
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Q 7. Which of the following is the solution set of {tex} 3 x - 7 > 5 x - 1\ \forall \ x \in R {/tex} ?
{tex} ( - \infty , - 3 ) {/tex}
{tex} ( - \infty , - 3 ] {/tex}
{tex} ( - 3 , \infty ) {/tex}
{tex} ( - 3,3 ) {/tex}
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Q 8. The solution set of the inequality {tex} 37 - ( 3 x + 5 ) \geq 9 x - 8 ( x - 3 ) {/tex} is
{tex} ( - \infty , 2 ) {/tex}
{tex} ( - \infty , - 2 ) {/tex}
{tex} ( - \infty , 2 ] {/tex}
{tex} ( - \infty , - 2 ] {/tex}
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Q 9. The graphical solution of {tex} 3 x - 6 \geq 0 {/tex} is
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Q 10. The solutions of the system of inequalities {tex} 3 x - 7 < 5 + x {/tex} and {tex} 11 - 5 x \leq 1 {/tex} on the number line is
None of the above
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Q 11. The solution set of the inequalities {tex} 3 x - 7 > 2 ( x - 6 ) {/tex} and {tex} 6 - x > 11 - 2 x , {/tex} is
{tex} ( - 5 , \infty ) {/tex}
{tex} [ 5 , \infty ) {/tex}
{tex} ( 5 , \infty ) {/tex}
{tex} [ - 5 , \infty ) {/tex}
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Q 12. If {tex} \frac { 3 x - 4 } { 2 } \geq \frac { x + 1 } { 4 } - 1 , {/tex} then {tex} x \in {/tex}
{tex} [ 1 , \infty ) {/tex}
{tex} ( 1 , \infty ) {/tex}
{tex} ( - 5,5 ) {/tex}
{tex} [ - 5,5 ] {/tex}
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Q 13. If {tex} - 5 \leq \frac { 5 - 3 x } { 2 } \leq 8 , {/tex} then {tex} x \in {/tex}
{tex} \left[ - \frac { 11 } { 3 } , 5 \right] {/tex}
{tex} [ - 5,5 ] {/tex}
{tex} \left[ - \frac { 11 } { 3 } , \infty \right) {/tex}
{tex} ( - \infty , \infty ) {/tex}
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Q 14. Solutions of the inequalities comprising a system in variable {tex} x {/tex} are represented on number lines as given below, then
{tex} x \in ( - \infty , - 4 ] \cup [ 3 , \infty ) {/tex}
{tex} x \in [ - 3,1 ] {/tex}
{tex} x \in ( - \infty , - 4 ) \cup [ 3 , \infty ) {/tex}
{tex} x \in [ - 4,3 ] {/tex}
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Q 15. The inequality {tex} \frac { 2 } { x } < 3 {/tex} is true, when {tex} x {/tex} belongs to
{tex} \left[ \frac { 2 } { 3 } , \infty \right) {/tex}
{tex} \left( - \infty , \frac { 2 } { 3 } \right] {/tex}
{tex} ( - \infty , 0 ) \cup \left( \frac { 2 } { 3 } , \infty \right) {/tex}
None of these
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Q 16. Solution of {tex} | 3 x + 2 | < 1 {/tex} is
{tex} \left[ - 1 , - \frac { 1 } { 3 } \right] {/tex}
{tex} \left\{ - \frac { 1 } { 3 } , - 1 \right\} {/tex}
{tex} \left( - 1 , - \frac { 1 } { 3 } \right) {/tex}
None of these
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Q 17. Solution of {tex} | x - 1 | \geq | x - 3 | {/tex} is
{tex} x \leq 2 {/tex}
{tex} x \geq 2 {/tex}
{tex} [ 1,3 ] {/tex}
None of these
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Q 18. If {tex} - 3 x + 17 < - 13 , {/tex} then
{tex} x \in ( 10 , \infty ) {/tex}
{tex} x \in [ 10 , \infty ) {/tex}
{tex} x \in ( - \infty , 10 ] {/tex}
{tex} x \in [ - 10,10 ) {/tex}
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Q 19. If {tex} | x + 2 | \leq 9 , {/tex} then
{tex} x \in ( - 7,11 ) {/tex}
{tex} x \in [ - 11,7 ] {/tex}
{tex} x \in ( - \infty , - 7 ) \cup ( 11 , \infty ) {/tex}
{tex} x \in ( - \infty , - 7 ) \cup [ 11 , \infty ) {/tex}
